Find the n th term of sequence 2-5-10-17- - A- 2 n2-4B- 2 n-1 C- n2-1D- 4 n-2

The correct option is C n^2 + 1T_1 nbsp;= 1^2+ 1 = 1 + 1 = 2 T_2 nbsp;= 2^2 + 1 = 4 +1 = 5 T_3 nbsp;= 3^4 + 1 = 9 + 1 = 10 thus nbsp; T_n nbsp;= n^2+ ...

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Standard IX

Mathematics

Inductive Reasoning

Find the n th...

Question

Find the $n^{th}$ term of sequence 2, 5, 10, 17, ...

4n-2

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n^{2}

- 4

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2n - 1

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n^{2}

+ 1

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Solution

The correct option is D $n^{2}$ + 1
$T_{1}$ = $1^{2}$ + 1 = 1 + 1 = 2
$T_{2}$ = $2^{2}$ + 1 = 4 +1 = 5
$T_{3}$ = $3^{4}$ + 1 = 9 + 1 = 10
thus
$T_{n}$ = $n^{2}$ + 1

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Find the nth term of sequence 2, 5, 10, 17, ...

The correct option is D n2 + 1T1 = 12+ 1 = 1 + 1 = 2 T2 = 22 + 1 = 4 +1 = 5 T3 = 34 + 1 = 9 + 1 = 10 thus Tn = n2+ 1

Find the $n^{th}$ term of sequence 2, 5, 10, 17, ...

The correct option is D $n^{2}$ + 1
$T_{1}$ = $1^{2}$ + 1 = 1 + 1 = 2
$T_{2}$ = $2^{2}$ + 1 = 4 +1 = 5
$T_{3}$ = $3^{4}$ + 1 = 9 + 1 = 10
thus
$T_{n}$ = $n^{2}$ + 1