Question

I need the answer with explanation please

Find the next series
8, 10, 16, 36, 78, ?

A)186
B)188
C)190
D)192
E)195

Answer 1

Ans: 188 8        10     16       36       78      2        6       20      42 (2^2-2)(3^2-3)(5^2-5)(7^2-7) Prime no square - that no.

Answer 2

B. 188 is the correct answer, and the 8, 10,16, 36,78, 2, 6,20,42 the next series. (2^2-2),(3^2-3)(5^2-5)(7^2-7).

The increasing (or decreasing) series, start with the first term and move onwards.

You will notice that the series proceeds either arithmetically or geometrically or alternately.

By an arithmetic increase, we mean that there is an increase (or decrease) of terms by virtue of addition (or subtraction).