Home Maths Sequence and Series ( Progressions ) General Three numbers a, b, c between 2 and 18 are s…
Maths Sequence and Series ( Progressions ) General More Than One Correct MCQ
Published on: August 12, 2026

Three numbers a, b, c between 2 and 18 are such that

(i)their sum is 25

(ii)the numbers 2, a, b, are in A.P.

(iii)the number b, c, 18 are in G.P.

then which of the following options are correct.

A
a = 5
B
b = 8
C
b + c = 20
D
a + b + c = 25

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Text Solution

Verified by Experts
The correct answer is:
CHECK THE SOLUTION.

(a,b,c,d)

a + b + c = 25 ⇒ 2a = 2 + b ⇒ c 2 = 18b ⇒

⇒ c = 12, –24 ⇒ c ≠ –24 ⇒ b = = 8 ⇒ a = 5

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