CUET CUET General Test 2024 - What will be the next number of the series 3, 6, 10.5, 17, 26, ? | PYQs + Solutions | AfterBoards
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CUET General Test 2024

Algebra
>
Progression & Series

Hard

What will be the next number of the series 3, 6, 10.5, 17, 26, ?

Correct Option: 2
To find the next number in the series, we first look at the differences between consecutive terms.
The differences are: 6−3=36 - 3 = 3, 10.5−6=4.510.5 - 6 = 4.5, 17−10.5=6.517 - 10.5 = 6.5, 26−17=926 - 17 = 9.
Now, we observe the differences: 3,4.5,6.5,93, 4.5, 6.5, 9.
The differences of these differences are: 4.5−3=1.54.5 - 3 = 1.5, 6.5−4.5=26.5 - 4.5 = 2, 9−6.5=2.59 - 6.5 = 2.5.
The second differences are: 1.5,2,2.51.5, 2, 2.5.
The next second difference can be assumed to be 33, leading to a next first difference of 9+3=129 + 3 = 12.
Thus, the next term in the series is 26+12=3826 + 12 = 38.
The next number in the series is 3838.

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