Question

If a sequence of 8 consecutive odd integers with increasing values has 9 as its seventh term. What is the sum of the terms of the sequence?​

Answer 1

`Sum = 32`

Explanation:

Given

Sequence = Consecutive Odds

`T_7 = 9`

Required

The sum of the terms

A sequence of odd number has a difference of 2. So, the sequence is represented as:

`S = \{-3,-1,1,3,5,7,9,11\}`

Add up all terms in the sequence

`Sum = -3-1+1+3+5+7+9+11`

`Sum = 32`