Find the sum to n terms of the series
The given series is
nth term, an =
Adding the above terms column wise, we obtain
Find the sum of integers from 1 to 100 that are divisible by 2 or 5.
If the sum of three numbers in A.P., is 24 and their product is 440, find the numbers.
A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?
The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, then find the number of terms.
How many terms of G.P. 3, 32, 33, … are needed to give the sum 120?
Find the sum of all numbers between 200 and 400 which are divisible by 7.
Insert five numbers between 8 and 26 such that the resulting sequence is an A.P.
Find the sum of all two digit numbers which when divided by 4, yields 1 as remainder.
Find the sum of all numbers between 200 and 400 which are divisible by 7.
Find the sum to 20 terms in the geometric progression 0.15, 0.015, 0.0015 …
Find the equation of the circle with centre (0, 2) and radius 2
The 4th term of a G.P. is square of its second term, and the first term is –3. Determine its 7th term.
The sum of first three terms of a G.P. is 16 and the sum of the next three terms is 128. Determine the first term, the common ratio and the sum to n terms of the G.P.
For what values of x, the numbers are in G.P?
If the sum of three numbers in A.P., is 24 and their product is 440, find the numbers.
A man starts repaying a loan as first installment of Rs. 100. If he increases the installment by Rs 5 every month, what amount he will pay in the 30th installment?
Describe the sample space for the indicated experiment: A die is thrown two times.
Find the sum to n terms in the geometric progression