53.8k views
4 votes
What is the 21st term of a sequence with A1 = -5 and D = 6​

2 Answers

7 votes

Answer:

115

Explanation:

I had this on my test and I got 100%

User Chris Leishman
by
7.2k points
2 votes

Answer:

Explanation:

In an arithmetic sequence, the consecutive terms differ by a common difference. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = - 5

d = 6

n = 21

We want to determine the value of the 21th term, thus, n = 21. Therefore,

T21 = - 5 + (21 - 1)6

T21 = - 5 + 120

T21 = 115

User Anas
by
6.3k points