What is the 22nd term of the arithmetic sequence 12 , 17 , 22 , 27 , .... , .... , ....

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

5 0

Answer: 117

Step-by-step explanation:

Formula for arithmetic sequence is:

= a + (n - 1)d

22nd term = a + (n - 1)d

= a + (22 - 1)d = a + 21d

where, a = 12

d = 17 - 12 = 5.

Therefore, 22nd term will be:

= a + 21d

= 12 + 21(5)

= 12 + 105

= 117

The 22nd term is 117

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