The nth term of a sequence is given as 2n3−12 . Find the 14th and 17th terms of thesequence
Question
The nth term of a sequence is given as .
Find the 14th and 17th terms of the sequence.
Solution
To find the 14th term of the sequence, substitute n = 14 into the formula:
2(14)^3 - 12 = 2(2744) - 12 = 5488 - 12 = 5476
So, the 14th term of the sequence is 5476.
To find the 17th term of the sequence, substitute n = 17 into the formula:
2(17)^3 - 12 = 2(4913) - 12 = 9826 - 12 = 9814
So, the 17th term of the sequence is 9814.
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