Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Let S n = 
k 2 . Then S n can take value(s)
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a,d)
S n = 
= –1 2 – 2 2 + 3 2 + 4 2 – 5 2 – 6 2 + 7 2 + 8 2 +........
= (3 2 – 1) + (4 2 – 2 2 ) + (7 2 – 5 2 ) + (8 2 – 6 2 )...... = 2 
= 2[(4 + 12 + 20 ......) + (6 + 14 + 22 ........)]
n terms n terms
= 
= 2[n(4 + 4n – 4) + n(6 + 4n – 4)]
= 2(4n 2 + (4n + 2)n) = 2(8n 2 + 2n) = 4n(4n + 1)
1056 = 32 × 33 n = 8
1088 = 32 × 34
1120 = 32 × 35
1332 = 36 × 37 n = 9
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