Which of the following is the general term of the sequence. 2,8,18,32,50
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The next term of the sequence is equal to 72.
The terms of the sequence are 2,8,18,32,50 .
The difference between any two consecutive terms of the sequence forms an arithmetic progression of common difference 4.
8-2 = 6
18-8 = 10
32-18 = 14
50-32 = 18
So from this is clear that the difference between terms of the sequence form an A.P.
The next term of the series will be 50 + (18+4) = 72.
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The next term of the given sequence (?) = 72
Step-by-step explanation:
The given sequence:
2, 8, 18, 32, 50, ?
To find, the next term of the given sequence = ?
The pattern follow:
Previous number + 6, Previous number + 10, Previous number + 14, Previous number + 18, .........
8 = 2 + 6 = 8
18 = 8 + 10 = 18
32 = 18 + 14 = 32
50 = 32 + 18 = 50
? = 50 + 22 = 72
∴ The next term of the given sequence (?) = 72
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