The first term in an arithmetic sequence is 9. The fourth term in the sequence is 24.the twentieth ter is 104. What is the common difference of this sequence? How do you find the nth term of the arithmetic sequence?

Wierzycaz 2021-02-09 Answered
The first term in an arithmetic sequence is 9. The fourth term in the sequence is 24.the twentieth ter is 104. What is the common difference of this sequence? How do you find the nth term of the arithmetic sequence?
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pierretteA
Answered 2021-02-10 Author has 102 answers
Step 1 Given, The first term in an arithmetic sequence is 9. The fourth term in the sequence is 24. And the twentieth term is 104.We know that, The general term of the arithmetic sequence is given by an=a+(n1) where d is the common difference a is the first term n is the number of terms Step 2 Now, First term in an arithmetic sequence is 9. a=9 The fourth term in the sequence is 24 and the twentieth term is 104 a+3d=24anda+19d=104 Put a=9 then 9+3d=24
3d=249
3d=15
d=5 The general term of the arithmetic sequence is an=a+(n1)d
an=9+(n1)5
an=9+5n5
an=5n+4
The nth term of the arithmetic sequence is an=5n+4
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