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Question: The 19<sup>th</sup> term from the end of the series 2 + 6 + 10 + …. + 86 is...

The 19th term from the end of the series 2 + 6 + 10 + …. + 86 is

A

6

B

18

C

14

D

10

Answer

14

Explanation

Solution

86=2+(n1)486 = 2 + (n - 1)4n=22n = 22

19th term from end=tn19+1=t2219+1=t4=2+(41)4=14= t_{n - 19 + 1} = t_{22 - 19 + 1} = t_{4} = 2 + (4 - 1)4 = 14