How do you find the fifth term of a sequence?

Step 1: The nth term of an arithmetic sequence is given by an = a + (n – 1)d. So, to find the nth term, substitute the given values a = 2 and d = 3 into the formula. Step 2: Now, to find the fifth term, substitute n = 5 into the equation for the nth term.

What is the third term of sequence?

The three dots mean to continue forward in the pattern established. Each number in the sequence is called a term. In the sequence 1, 3, 5, 7, 9, …, 1 is the first term, 3 is the second term, 5 is the third term, and so on. The notation a 1, a 2, a 3,… a n is used to denote the different terms in a sequence.

What is the 6th term of an arithmetic sequence?

Sum = 9a + 45d = 108. Or a + 5d = 12. Hence 6th term = 12.

What is the sum of the terms of a geometric series?

Name: Geometric Series (the sum of the terms of a geometric sequence.) total # Use Sigma Notation to calculate the sum, Sn — al(r) 17—1 or you can use the formula: Sn = Example #1. 54 1- 2/3 Unit 8 Summary Which of the following represents the sum of a geometric series with 8 terms whose first term is 3 and whose common ratio is 4?

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

For an AP, the sum of the first n terms can be calculated if the first term and the total terms are known. The formula for the arithmetic progression sum is explained below: Consider an AP consisting “n” terms. S = n/2 [2a + (n − 1) × d] This is the AP sum formula to find the sum of n terms in series. Proof: Consider an AP consisting “n” terms

How do you find the common difference of a series?

In this progression, for a given series, the terms used are the first term, the common difference between the two terms and nth term. Suppose, a1, a2, a3, ……………., an is an AP, then; the common difference “ d ” can be obtained as; d = a2 – a1 = a3 – a2 = ……. = an – an – 1 Where “d” is a common difference.

How do you find the next term of a sequence?

The next term of the sequence is produced when we multiply a constant (which is non-zero) to the preceding term. It is represented by: a, ar, ar 2, ar 3, ar 4, and so on. Where a is the first term and r is the common ratio.