Question

Which expression is equivalent to *picture attached*

Answer 1

`(35(1 + 35))/(2)`

Explanation:

Given:

The attached

Required

Find the equivalent expression

The interpretation of is to add the sequence:

n = 1,2,3,......35

This can be done using the following formula (Sum of n terms of an AP)

`S_n = (n)/(2)(T_1 + T_n)`

Where n is the number of terms from 1 to 35;
`n = 35`

T1 is the first term;
`T_1 = 1`

Tn is the last term;
`T_n = 35`

`S_n = (n)/(2)(T_1 + T_n)` becomes

`S_n = (35)/(2)(1 + 35)`

`S_n = (35(1 + 35))/(2)`

From the list of given options;

Option A is correct

`(35(1 + 35))/(2)`