Paper 1 · Mathematical Reasoning and Aptitude
UGC NET June 2023 (13.06.2023) Shift-I
What number would replace the question mark in the series given below? 3, 8, 17, 32, 57, ?, 177
A100 ✓ Correct
B89
C95
D106
Correct answer: (A) 100 — The missing number is 100, so the answer is 100.
Explanation
★The missing number is 100, so the answer is 100.
★Each term follows the pattern 2 raised to n plus n squared, where n is the term position.
★The first term is 2 to the 1 plus 1 squared, which is 2 plus 1, equal to 3.
★The fifth term is 2 to the 5 plus 5 squared, which is 32 plus 25, equal to 57.
★The sixth term is 2 to the 6 plus 6 squared, which is 64 plus 36, equal to 100.
★As a check, the seventh term is 2 to the 7 plus 7 squared, which is 128 plus 49, equal to 177.
★Recognising a combined power-plus-square rule is faster than testing simple differences, which do not stay constant here.
Want more like this? Create a free account to practise a full test, track your progress, and get spaced-repetition review.
Shared by Mcqkart · via Mcqkart.in