arithmetic sequences and series worksheets

(This represents a partial sum of a series, because it is the sum of a finite number of terms, n, in the series) For the sum of n numbers in a sequence, we can use recursive formula or simply add the terms. A finite arithmetic series is the sum of the terms in an arithmetic sequence. Substitute n = 48, a 1 = 4 and a n = 286.Ī finite series is the sum of the terms in a finite sequence. In this arithmetic sequence a 1 = 4, a n = 286 and d = 6. This is an arithmetic sequence with a 1 = 3 and d = 4.īecause n stands for number of terms, it can not be a negative value. Find the sum of the first 10 terms.įormula for sum of first n terms of an arithmetic sequence :įormula for the sum of the first n terms of an arithmetic sequence. There are 34 terms in the given arithmetic sequence.Īn arithmetic sequence has first term 5 and common difference –2. This is an arithmetic sequence with a 1 = 1 and d = 3. If the sum of first n terms of an arithmetic sequence is 3n 2 + 5n, find the first term and common difference. What is the general formula for an arithmetic series ?ġ0. Find the sum of the terms in the arithmetic sequence :

Find the sum of the terms in the arithmetic sequence :ĩ.

The sum of the first n terms of the sequence 3, 7, 11, 15… is 465. If there are 30 terms, find the sum of all the terms.ħ. An arithmetic sequence has first term 10 and last term 1000. An arithmetic sequence has first term 5 and common difference –2. Write the sequence.Ĥ. Find the number of terms in the arithmetic sequence :ĥ. The third term of an arithmetic sequence is 10 and the 15 th term is 46. An arithmetic sequence has first term 7 and common difference 8. Is the sequence arithmetic ? If so, what is the common difference ? What is the next term in the sequence ?Ģ.

Arithmetic sequences and series worksheets