Arithmetic Series 2

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Question 1

In an arithmetic series, the $\var{n1}$ ^thterm is $\var{t1}$ and the $\var{n2}$ ^thterm is $\var{t2}$

What is the first term and the common difference?

First term $=$ Expected answer:

Common difference $=$ Expected answer:

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Advice

To find the common difference d we note that the $\var{n1}$ ^th term is $\var{t1}$ and the $\var{n2}$ ^thterm is $\var{t2}$ so we can find the common difference d by noting $\var{t2}-\var{t1}=(\var{n2}-\var{n1})\times d$ , hence common difference $= \var{d}$

It is then straightforward to find the first term $a_1$ by substituting the common difference back into either of our given terms. For example, we know $\var{t1} = a_1 + (\var{n1}-1)\times \var{d}$ , hence $a_1 = \var{a}$

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Arithmetic Series 2

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