Question

First term of arithmetic sequence is 7 and its 10 term is 30. a) what is the common difference?.2) write the sequence?. 3) write the algebraic from of the sequence?. 4) write the 50 th term of the sequence?​

Answer 1

Answer:

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Answer 2

Answer:

First term of the sequence is 10 and common difference is 3.

a↓1 = 10 and d = 3

Next term = a↓2 = a↓1 + d = 10+3 = 13

a↓3 = a↓2+d = 13+3 = 16

Thus, first three terms of the sequence are 10, 13 and 16.

Let 100 be the nth term of the sequence.

a↓n = a↓1 +(n-1)d

100=10+(n−1)3

90=(n−1)3

n−1=30

n=31, which is a whole number.

Therefore, 100 is the 31st term of the sequence.