Question

What is the value of the expression *picture attached*

Answer 1

Answer:

$12(3 + 4 + 5 + ...... + 12 + 13) = 1056$

Step-by-step explanation:

Given:

The attached

Required

Find the value of the expression

The interpretation of is to add the sequence: 12n

where n = from 3 to 13

Solving the for each term of the sequence

$When\ n = 3, 12n = 12(3)$

$When\ n = 4, 12n = 12(4)$

$When\ n = 5, 12n = 12(5)$

....................

...........

...

.

$When\ n = 12, 12n = 12(12)$

$When\ n = 13, 12n = 12(13)$

The sum is then calculated as follows;

$Sum = 12(3) + 12(4) + 12(4) + ...... + 12(12) + 12(13)$

12 is a common factor;

Hence;

$Sum = 12(3 + 4 + 5 + ...... + 12 + 13)$

Replace ....... with actual numbers

$Sum = 12(3 + 4 + 5 +6 + 7 + 8 + 9 + 10 + 11 + 12 + 13)$

$Sum = 12(88)$

$Sum = 1056$

Hence;

$12(3 + 4 + 5 + ...... + 12 + 13) = 1056$

From the list of given options;

Option B is correct

$12(3 + 4 + 5 + ...... + 12 + 13) = 1056$