Question 286007: Find the 15th term and the sum of the first 15 terms for the following sequences.
a) 12, 17, 22, ….
b) 4, 10, 16, ….
Answer by nerdybill(7384)   (Show Source):
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Find the 15th term and the sum of the first 15 terms for the following sequences.
a) 12, 17, 22, ….
b) 4, 10, 16, ….
.
The formula is:
nth term = a + [(n - 1) * d]
where
a is the first term
n is the nth term
d is the distance
.
a) 12, 17, 22, ….
d is 5
n is 15
15th term = 15+[(15-1)*5] = 15+[14*5] = 15+[70] = 85
b) 4, 10, 16, ….
d is 6
n is 15
15th term = 4+[(15-1)*6] = 4+[14*6] = 4+[84] = 88
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