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Find the 20th term in the arithmetic sequence 15, 21, 27,....

2 Answers

1 vote

Answer:

129

Explanation:

The difference between 15 and 21 is 6, and that between 21 and 27 is also 6. Thus, the common difference is 6 and the first term is 15.

The rule for calculating the nth term of this sequence is therefore

a(n) = 15 + (n-1)6

Check: Is the third term 27 when n = 3? Is a(3) = 15 + (3-1)6 = 27? yes.

Thus, the 20th term is

a(20) = 15 + 19(6) = 129

User Edward Tshifaro
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5.7k points
1 vote

Answer:

117

Explanation:

Just took it

User Paul Hoang
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6.7k points