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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 + .....is 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