JEE Main 1982 Mathematics question on Sequences and Series
The third term of a geometric progression is 4. The product of the first five terms is
A.
43
B.
45
C.
44
D.
None of these
Show answer and solution
Correct option: B
Solution
In a GP, if the first term is a and common ratio is r, the five terms are a/r², a/r, a, ar, ar². Their product is a⁵, which equals the third term (a) raised to the 5th power. Since the third term is 4, the product = 4⁵.
[1982]
Practise Sequences and Series the way it is asked
A timed set of real JEE Main Sequences and Series questions, graded as the exam grades. No sign-up.
