Which term of the series 5, 8, 11, 14, …. is 320. - www.mathselab.com

Which term of the series 5, 8, 11, 14, …. is 320

Question


Which term of the series 5, 8, 11, 14, …. is 320


A. 65th
B. 107th
C. 105th
D. 106th


Answer: D. 106th


Solution:


Clearly, 5 + 3 = 8, 8 + 3 = 11, 11 + 3 = 14, …

So, the series is an A.P. in which a = 5 and d = 3.

Let 320 be the nth term of the series.

Then, 320 = 5 + (n – 1) × 3

=> (n – 1) = 105

=> n = 106.




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