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Byju's Answer

Standard IX

Mathematics

Linear Equation in One Variable

If tn=n n+3...

Question

If $t_{n} = n (n + 3)$ , then find the difference of its $5^{t h}$ term and $2^{n d}$ term i.e $t_{5} - t_{2}$ .

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Solution

$t_{n} = n (n + 3)$
$∴ t_{5} = n (n + 3)$
$∴ t_{5} - t_{2} = 5 \times 8 - 2 \times 5 = 40 - 10 = 30$

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Similar questions

Q. If

t_{n}

, represents

n^{t h}

term of an A.P.,

t_{2} + t_{5} - t_{3} = 10

and

t_{2} + t_{9} = 17

, then find its first term and its common difference.

If $t_{n}$ represents $n^{t h}$ term of an A. P., $t_{2} + t_{5} - t_{3} = 10$ and $t_{2} + t_{9} = 17$ , find its first term and its common difference.

Q. The

5^{t h}

term of the sequence defined by

t_{1} = 2

t_{2} = 3

and

t_{n} = t_{n - 1} + t_{n - 2}

for

n \geq 3

Q. If

T_{0}, T_{1}, T_{2}, . . . . . T_{n}

represent the term in the expansion of

(x + a)^{n}

, then the value of

(T_{0} - T_{2} + T_{4} - T_{6} + . . . . .)^{2} + (T_{1} - T_{3} + T_{5} + . . . . .)^{2}

Q.
lf

t_{0}, t_{1}, t_{2}, t_{n}

are the consecutive terms in the expansion

(x + a i)^{n}

, then

(t_{0} - t_{2} + t_{4} - t_{6} + \dots .)^{2} + (t_{1} - t_{3} + t_{5} \dots .)^{2} =

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If tn=n(n+3), then find the difference of its 5th term and 2nd term i.e t5−t2.

tn=n(n+3)∴t5=n(n+3)∴t5−t2=5×8−2×5=40−10=30

If $t_{n} = n (n + 3)$ , then find the difference of its $5^{t h}$ term and $2^{n d}$ term i.e $t_{5} - t_{2}$ .

$t_{n} = n (n + 3)$
$∴ t_{5} = n (n + 3)$
$∴ t_{5} - t_{2} = 5 \times 8 - 2 \times 5 = 40 - 10 = 30$