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Revision Quiz | Sequence and Series

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Question 1

A man saves Rs. 200 in each of the first three months of his service. In each of the subsequent months his saving increases by Rs. 40 more than the saving of immediately previous month. His total saving from the start of service will be Rs. 11040 after.

Question 2

If th term of G.P. are , then:

Question 3

Find the sum till 7th term of

Question 4

Let be a circle of radius 1. For , let be a circle whose area equals the area of a square inscribed in . Then equals

Question 5

The sum of the infinite series + ….is equal to

Question 6

In a geometric progression, if the ratio of the sum of first 5 terms to the sum of their reciprocals is 49, and the sum of the first and the third term is 35. Then the first term of this geometric progression is :

Question 7Multiple Correct Options

If a, b, c are in G.P. then-

Question 8

If a, x are real number |a| < 1, |x| < 1 then 1 +(1 + a) x + (a + a +a2)x2 + .....Description: E:\WBJEE\2016\2016_Mathematics_files\image001.pngis equal to

Question 9

Find the sum of (1+11+102+1003+10004+...+n) till 15th term.

Question 10

Find the second term of the increasing G.P. series in which subtraction of 2nd term from the 3rd term is 6 and the 1st term is 1.

Question 11

Heights of 3 triangles are in G.P. Find area of second triangle if maximum to minimum area ratio is 256 and sum of heights of last 2 triangles is 25.

Question 12

If x,y,z are in G.P. and , then find the suitable condition.

Question 13

If the first and the (2n + 1)th terms of an AP, GP and HP are equal and their nth terms are respectively a, b, c then always

Question 14

A.M. between 2 quantities y and z is x and 2 G.M.s between them are p and q.Find value of .

Question 15

The harmonic mean of two numbers is 9/2. Their arithmetic means A and geometric mean G satisfy the relation 2A+G2=39. Find the two numbers.
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Nov 18JEE & BITSAT