Question

Which expression is equivalent to *picture attached*

Answer 1

Answer:

$\frac{35(1 + 35)}{2}$

Step-by-step 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)

$S_n = \frac{n}{2}(T_1 + T_n)$

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; $T_n = 35$

$S_n = \frac{n}{2}(T_1 + T_n)$ becomes

$S_n = \frac{35}{2}(1 + 35)$

$S_n = \frac{35(1 + 35)}{2}$

From the list of given options;

Option A is correct

$\frac{35(1 + 35)}{2}$