What should come in place of question mark (?) in the given series?
What should come in place of question mark (?) in the given series?
दी गई श्रृंखला में प्रश्नवाचक चिह्न (?) के स्थान पर क्या आना चाहिए?
10 26 74 154 266 ?
Detailed Solution & Logic
Correct Answer:
410
Series:
10, 26, 74, 154, 266, ?
Find pattern:
$10 = 2^3 + 2$
$26 = 3^3 - 1$
This seems inconsistent, so check differences:
$26 - 10 = 16$
$74 - 26 = 48$
$154 - 74 = 80$
$266 - 154 = 112$
Differences form a pattern:
$16, 48, 80, 112$
Each difference increases by $32$.
Next difference:
$112 + 32 = 144$
So next term:
$266 + 144 = 410$
Correct Answer: 410
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