What is the seventh term of the sequence $0, 3, 8, 15, 24, . . .$ $?$

$63$

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$48$

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$35$

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$33$

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Solution

The correct option is B
$48$

Find the seventh term of the sequence $0, 3, 8, 15, 24, \dots .$
Sequence $0, 3, 8, 15, 24, \dots .$
The differences between each term and its next term are shown here in A.P.
$\begin{array}{rcl} 3 - 0 & = & 3 \\ 8 - 3 & = & 5 \\ 15 - 8 & = & 7 \\ 24 - 15 & = & 9 \end{array}$
The following term for the given sequence follows as,
The sixth term of the sequence $24 + 11 = 35$
Seventh term will be $35 + 13 = 48$
Therefore the seventh term will be $48$ .
Hence, option (B) is the correct answer.

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What is the seventh term of the sequence 0,3,8,15,24,... ?

What is the seventh term of the sequence $0, 3, 8, 15, 24, . . .$ $?$