# What is the sum of a 34-term arithmetic sequence where the first term is 14 and the last term is 146?

Jun 29, 2015

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#### Explanation:

The formula for sum of an Arithmetic Sequence when the first term ${a}_{1}$, number of terms $n$ and last term ${a}_{n}$ are given is:

 color(blue)(Sum = (n/2)(a_1+a_n)

Here: ${a}_{1} = 14 , {a}_{n} = 146 , n = 34$

$= \frac{34}{2} \left(14 + 146\right)$

$= 17 \times 160$

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