What is the sum of the first 50 terms of the series?

And hence the sum of the first 50 natural numbers to be 1275.

What is the sum of the first 50 terms of the Series 1 * 3?

Let us now put n = 50 both sides in the above expression, we get the required sum as below: S (50) = (50/3) [ 4×50^2 + 6×50 – 1 ] = 171650.

What is the sum of first n terms of the arithmetic sequence 1 3 5 7?

n2
We have found the sum of n terms of the series 1, 3, 5, 7, …… is n2. ∴ The sum of series 1, 3, 5, 7, 9,…… up to n terms is n2.

What is the sum of the first 45 terms of an arithmetic sequence if the sum of its 18th and 28th term is 36?

So 36=(a+18d)+(a+28d) =2a+46d, or a+23d=18. Hence the sum of the first 45 terms is 45a+d(1+2+⋯+45)= 45a+d⋅23⋅45 =45(a+23d) =810.

How do you find the sum of n terms in AP?

The formula to find the sum of n terms in AP is Sn = n/2 (2a+(n−1)d), in which a = first term, n = number of terms, and d = common difference between consecutive terms.

What is the sum of 1st and 31st terms?

Sum of 1 st and 31st terms of an arithmetic sequence is 80. FIRST term if an AP is 4 and the common difference is 3 its 12th term …

What is a sum of terms?

The sum of the terms of a sequence is called a series . If a sequence is arithmetic or geometric there are formulas to find the sum of the first n terms, denoted Sn , without actually adding all of the terms.

What is the sum of first n terms?

FORMULAS YOU NEED TO KNOW:

Sum of terms when the first(a) and last term (l)is known and where n is the number of terms.	(n/2) a+l
Sum of terms when last term is unknown, a and n are known.	(n/2)2a+(n−1)d
To find the last term of the series( an) when d and n is known.	an = a1+(n-1) d

What is sum of in math?

The result of adding two or more numbers. Example: 9 is the sum of 2, 4 and 3. (because 2 + 4 + 3 = 9).