# There are 7 arithmetic means between 3 and 35. What is the sum of all the terms?

Date of Exam

Subject

**Problem**

There are 7 arithmetic means between 3 and 35. What is the sum of all the terms?

A. 133 | C. 665 |

B. 608 | D. 171 |

**Answer Key**

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[ D ]

**Solution**

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There are 9 terms in all,

$S = \dfrac{n}{2}(a_1 + a_n)$

*a*_{1}= 3 and*a*_{9}= 35$S = \dfrac{n}{2}(a_1 + a_n)$

$S = \dfrac{9}{2}(3 + 35)$

$S = 171$ ← *answer*

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