29.2k views
8 votes
The first term of an arithmetic sequence is 1 and the sum of the first four terms is 100. Find the first four terms ​

User Paul Roub
by
8.7k points

2 Answers

5 votes

Answer:

see the file attached!!!!

The first term of an arithmetic sequence is 1 and the sum of the first four terms-example-1
User Ari Herman
by
8.8k points
8 votes

Answer:

1, 17, 33, 49

Explanation:

given the first term is 1 then the next 3 terms are

1 + d, 1 + 2d, 1 + 3d ( d is the common difference )

the sum of the first 4 terms is 100 , then

1 + 1 + d + 1 + 2d + 1 + 3d = 100 , that is

4 + 6d = 100 ( subtract 4 from both sides )

6d = 96 ( divide both sides by 6 )

d = 16

1 + d = 1 + 16 = 17

1 + 2d = 1 + 2(16) = 1 + 32 = 33

1 + 3d = 1 + 3(16) = 1 + 48 = 49

the first 4 terms are

1, 17, 33, 49

User Ivan Kishchenko
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.