Sequences & Series

Find nth term of Arithmetic progression 2,5,10,17,… ?

Fourth term of an A.P is 14. Find a1 ?

Sum of first 50 whole numbers ?

If x , x+2 and 3x-4 are in A.P, Then find the value of x ?

If the value of an automobile deprecate 10% per year. What will be it’s value after 6 years if it is now 20000 ?

For an Infinite geometric series

a1 + a1r + a1r2 + … + ∞ . If r = -1 the series will be ______ and ______ ?

If a= b + b2 + b + … + ∞ , then b = ___ ?

Q.No # 8 : 0.3·3· (recurring decimal fraction) is written in the form if rational no.

The sum of numerator and denominator is ?

Find the vulgar fraction to the recurring decimal of 0.502·7· ?

If A.M = 5 and H.M = 4 of two values a & b, then G.M ?

For two no’s : a and b, If a>0 , b>0 then,

Q.No # 12 : If α , β and γ are in A.P then their A.M = ?

A triangle has 20 balls on it’s base how many overall balls triangle has ?

If there are 7 A.M’s between 4 and 8 then a5 = ?