Class 11

Math

Algebra

Sequences and Series

For what value of x, the number $−72 ,x,−72 $are in G.P.?

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Find the sum to indicated number of terms in each of the geometric progressions : $x_{3},x_{5},x_{7},n˙˙˙$terms $(ifx=±1)$.

A sum of Rs 700 is to be used to give seven cash prizes to students of a school for their overall academic performance. If each prize is Rs 20 less than its preceding prize, find the value of each of the prizes.

Find the indicated terms of the sequence whose $n_{th}$terms are : $a_{n}=2_{n}n_{2} $;$a_{7}$

The sums of n terms of two arithmetic progressions are in the ratio $5n+4:9n+6$. Find the ratio of their $18_{th}$terms.

For the following AP's, write the first term and the common difference:(i) $3,1,−1,−3,…$(ii) $−5,−1,3,7,…$(iii) $31 ,35 ,39 ,311 ……$(iv) $0.6,1.7,2.8,3.9,…$

Find the indicated terms of the sequence whose $n_{th}$terms are : $a_{n}=4n−3;a_{17},a_{24}$

In an AP: given a=8,$a_{n}=62,S_{n}=210$ find n and d

If a, b, c, d are in G.P., prove that $(a_{n}+b_{n}),(b_{n}+c_{n}),(c_{n}+a_{n})$are in G.P.