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How do you find the sum of the first 25 terms of a sequence?

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How do you find the sum of the first 25 terms of a sequence?

Explanation: Since the n th term of an arithmetic sequence is given by the following formula: an=a1+d(n−1) , where d is the common difference. So the sum of the first 25 terms of your series is 3775.

What is the sum of the first 25?

Hence, the sum of the first 25 natural numbers is 325, which is option (a).

What is the 20 term in the sequence?

The 20th term is 32 .

What is the sum of the first 25 odd numbers?

625
Therefore, the sum of first 25 odd numbers is 625.

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What is the 25th term of this arithmetic sequence?

3, 9, 15, 21, 27, … Solution: A sequence in which the difference between all pairs of consecutive numbers is equal is called an arithmetic progression. Therefore, the 25th term is 147. …

What is the sum of the first fifteen terms in arithmetic sequence?

25 −1 = 24, so there will be 24d’s added to 51 to get 99. So, the common difference is 2. All we have to do now is to apply the formula sn = n 2 (2a + (n − 1)d)) to determine the sum of the sequence. Thus, the sum of the first fifteen terms in the arithmetic sequence is 975.

How do you find the first 20 terms of an arithmetic series?

S n = n ( a 1 + a n ) 2 , where n is the number of terms, a 1 is the first term and a n is the last term. The sum of the first n terms of an arithmetic sequence is called an arithmetic series . Example 1: Find the sum of the first 20 terms of the arithmetic series if a 1 = 5 and a 20 = 62 .

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How do you find the nth term of an arithmetic sequence?

If the initial term of an arithmetic sequence is a 1 and the common difference of successive members is d, then the nth term of the sequence is given by: a n = a 1 + (n – 1)d. The sum of the first n terms S n of an arithmetic sequence is calculated by the following formula: S n = n (a 1 + a n )/2 = n [2a 1 + (n – 1)d]/2.

What is an arithmetic sequence calculator?

This Arithmetic Sequence Calculator is used to calculate the nth term and the sum of the first n terms of an arithmetic sequence. What Is Arithmetic Sequence?