diff --git a/langchain/chains/sequential.py b/langchain/chains/sequential.py
index 1bcc723d..338ca319 100644
--- a/langchain/chains/sequential.py
+++ b/langchain/chains/sequential.py
@@ -1,10 +1,11 @@
 """Chain pipeline where the outputs of one step feed directly into next."""
 
-from typing import Dict, List
+from typing import Dict, List, Tuple
 
 from pydantic import BaseModel, Extra, root_validator
 
 from langchain.chains.base import Chain
+from langchain.chains.llm import LLMChain
 from langchain.input import get_color_mapping, print_text
 
 
@@ -135,3 +136,18 @@ class SimpleSequentialChain(Chain, BaseModel):
             if self.verbose:
                 print_text(_input, color=color_mapping[str(i)], end="\n")
         return {self.output_key: _input}
+
+
+def construct_sequential_llm_chain(
+    llm_chain: LLMChain, add_ons: List[Tuple[str, List[str], str]]
+) -> SequentialChain:
+    base_prompt = llm_chain.prompt
+    chains = [llm_chain]
+    for template, input_vars, output_key in add_ons:
+        new_prompt = base_prompt.extend_prompt(template, input_vars)
+        new_llm_chain = LLMChain(
+            llm=llm_chain.llm, prompt=new_prompt, output_key=output_key
+        )
+        chains.append(new_llm_chain)
+
+    return SequentialChain(chains=chains, input_variables=llm_chain.input_keys)
diff --git a/langchain/prompts/base.py b/langchain/prompts/base.py
index b5ba37eb..2582557c 100644
--- a/langchain/prompts/base.py
+++ b/langchain/prompts/base.py
@@ -1,4 +1,6 @@
 """BasePrompt schema definition."""
+from __future__ import annotations
+
 import json
 from abc import ABC, abstractmethod
 from pathlib import Path
@@ -62,6 +64,12 @@ class BasePromptTemplate(BaseModel, ABC):
         extra = Extra.forbid
         arbitrary_types_allowed = True
 
+    @abstractmethod
+    def extend_prompt(
+        self, template: str, input_variables: List[str]
+    ) -> BasePromptTemplate:
+        """Extend the prompt with another template/input variables."""
+
     @root_validator()
     def validate_variable_names(cls, values: Dict) -> Dict:
         """Validate variable names do not restricted names."""
diff --git a/langchain/prompts/few_shot.py b/langchain/prompts/few_shot.py
index 98dffd65..6219ea6e 100644
--- a/langchain/prompts/few_shot.py
+++ b/langchain/prompts/few_shot.py
@@ -1,4 +1,6 @@
 """Prompt template that contains few shot examples."""
+from __future__ import annotations
+
 from typing import Any, Dict, List, Optional
 
 from pydantic import BaseModel, Extra, root_validator
@@ -41,6 +43,20 @@ class FewShotPromptTemplate(BasePromptTemplate, BaseModel):
     template_format: str = "f-string"
     """The format of the prompt template. Options are: 'f-string'."""
 
+    def extend_prompt(
+        self, template: str, input_variables: List[str]
+    ) -> FewShotPromptTemplate:
+        """Append to template and input variables."""
+        copied_prompt = self.copy(deep=True)
+        copied_prompt.suffix += template
+        copied_prompt.input_variables += input_variables
+        check_valid_template(
+            copied_prompt.prefix + copied_prompt.suffix,
+            copied_prompt.template_format,
+            copied_prompt.input_variables,
+        )
+        return copied_prompt
+
     @root_validator(pre=True)
     def check_examples_and_selector(cls, values: Dict) -> Dict:
         """Check that one and only one of examples/example_selector are provided."""
diff --git a/langchain/prompts/prompt.py b/langchain/prompts/prompt.py
index 4a24c2de..e4b0b918 100644
--- a/langchain/prompts/prompt.py
+++ b/langchain/prompts/prompt.py
@@ -36,6 +36,20 @@ class PromptTemplate(BasePromptTemplate, BaseModel):
 
         extra = Extra.forbid
 
+    def extend_prompt(
+        self, template: str, input_variables: List[str]
+    ) -> PromptTemplate:
+        """Append to template and input variables."""
+        copied_prompt = self.copy(deep=True)
+        copied_prompt.template += template
+        copied_prompt.input_variables += input_variables
+        check_valid_template(
+            copied_prompt.template,
+            copied_prompt.template_format,
+            copied_prompt.input_variables,
+        )
+        return copied_prompt
+
     def format(self, **kwargs: Any) -> str:
         """Format the prompt with the inputs.
 
diff --git a/tests/unit_tests/chains/test_sequential.py b/tests/unit_tests/chains/test_sequential.py
index f231a740..f2a6cd02 100644
--- a/tests/unit_tests/chains/test_sequential.py
+++ b/tests/unit_tests/chains/test_sequential.py
@@ -5,7 +5,14 @@ import pytest
 from pydantic import BaseModel
 
 from langchain.chains.base import Chain
-from langchain.chains.sequential import SequentialChain, SimpleSequentialChain
+from langchain.chains.llm import LLMChain
+from langchain.chains.sequential import (
+    SequentialChain,
+    SimpleSequentialChain,
+    construct_sequential_llm_chain,
+)
+from langchain.prompts.prompt import PromptTemplate
+from tests.unit_tests.llms.fake_llm import FakeLLM
 
 
 class FakeChain(Chain, BaseModel):
@@ -138,3 +145,21 @@ def test_multi_output_errors() -> None:
     chain_2 = FakeChain(input_variables=["bar"], output_variables=["baz"])
     with pytest.raises(ValueError):
         SimpleSequentialChain(chains=[chain_1, chain_2])
+
+
+def test_construct_sequential_llm_chain() -> None:
+    """Test constructing simple sequential chain."""
+    prompt = PromptTemplate(template="what is {foo}?", input_variables=["foo"])
+    llm_chain = LLMChain(llm=FakeLLM(), prompt=prompt, output_key="bar")
+    add_ons = [("{bar} and what does it do?", ["bar"], "baz")]
+    chain = construct_sequential_llm_chain(llm_chain, add_ons)
+
+    expected_new_prompt = PromptTemplate(
+        template="what is {foo}?{bar} and what does it do?",
+        input_variables=["foo", "bar"],
+    )
+    expected_new_chain = LLMChain(
+        llm=FakeLLM(), prompt=expected_new_prompt, output_key="baz"
+    )
+    expected_chains = [llm_chain, expected_new_chain]
+    assert chain.chains == expected_chains