Paragraph: The product of 5 consecutive terms of an AP is 229635....

Paragraph: The product of 5 consecutive terms of an AP is 229635. The first, second and fifth terms are in GP.
Question: What is the sum of all five terms?

Options

A $60$
B $65$
C $75$
D $80$

Correct answer

C. $75$

Step-by-step solution

Using the value of d in equation (ii), we have,

5 \times 6=2 a \Rightarrow a=15\therefore \quad

The required terms of A.P. are

3,9,15,21,27

. So, required sum

=3+9+15+21+27=75

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