Class 11 Mathematics Sequences and Series nth term of special series, Sum to n terms and Infinite number of terms

Easy

જો $1^4+2^4+3^4+\ldots+n^4=f(n) \left(1^2+2^2+\ldots+n^2\right)$,તમામ $n \in N$ માટે,તો $f(4)$ ની કિંમત શોધો.

AP EAMCET 2021 All AP EAMCET

A
$\frac{58}{5}$
B
$\frac{57}{5}$
C
$\frac{59}{5}$
D
$\frac{56}{5}$

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Class 11

Mathematics Questions

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Sequences and Series

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nth term of special series, Sum to n terms and Infinite number of terms

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Similar Questions

શ્રેણી $\frac{3}{1^2} + \frac{5}{1^2 + 2^2} + \frac{7}{1^2 + 2^2 + 3^2} + \dots$ ના $11$ પદોનો સરવાળો કેટલો થાય?

DifficultJEE MAIN 2013

$2 + 7 + 14 + 23 + 34 + \dots$ શ્રેણીનું $99$ મું પદ કયું હશે?

Difficult

જો $\frac{2+4+6+8+\dots+ n \text{ પદો સુધી}}{1+3+5+7+\dots+ n \text{ પદો સુધી}} = \frac{37}{36}$ હોય,તો $n = $

MediumMHT CET 2020

$1, 3, 6, 10, 15, 21, \dots, 5050$ શ્રેણીમાં પદોની સંખ્યા કેટલી છે?

Difficult

જો $2^3+4^3+6^3+\ldots+(2n)^3 = h n^2(n+1)^2$ હોય,તો $h$ ની કિંમત શોધો.

DifficultAP EAMCET 2001

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