Question

write in summation notation 13. 20 + 22 + 24 + ... + 36

Answer 1

Given the expression:

20 + 22 + 24 + ..... + 36

Let's write in summation notation.

Summation notation can be said to be the addition of a sequance of numbers.

From the sequence, we have:

Common difference = 22 - 20 = 2

Number of terms = 9

Apply the formula:

$\sum ^n_{i\mathop=1}a+d(i-1)$

Where:

n = upper limit (number of terms)

i = 1 ==> lower limit

Initial value, a = 20

d = common difference = 2

To write in summation notation, we have:

$\sum ^9_{i\mathop=1}20+2(i-1)$

ANSWER:

$\sum ^9_{i\mathop{=}1}20+2(i-1)$