Question

expand the pattern

108, 117, 126, 135,_______,______,_______&​

Answer 1

Answer:

108, 117, 126, 135, 144, 153, 162

Answer 2

Answer:

The sequence is  108,117,126,135,144,153,162,......

Step-by-step explanation:

Given sequence is

108, 117, 126, 135,_______,______,_______

Solution:

In the sequence first term = $a_1$ = 108

Second term = $a_2$ = 117

Third term  = $a_3$ = 126

Fourth term = $a_4$ = 135

$a_2 - a_1 =$ 117 -108 = 9

$a_3 - a_2 =$ 126  - 117 = 9

$a_4 - a_3 =$ 135 - 126 = 9

Since, $a_4 - a_3 =$ $a_3 - a_2 =$$a_2 - a_1$ = 9

The given sequence form an AP with common difference = 9

Then we can write the series as

108, 108+9, 108+9×2, 108+9×3, 108+9×4, 108+9×5, ----

The sequence is

108,117,126,135,144,153,162,......

#SPJ3