Question

Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.

Answer 1

Answer:

The first term is 1

The fourth term is -11.3

The tenth term is -35.9

Step-by-step explanation:

The nth term of arithmetic sequence is given by

$a_n=1+(n-1)(-4.1)$

For the first term, n = 1

$a_1=1+(1-1)(-4.1)\\a_1=1+0\\\\a_1=1$

The first term is 1

For the fourth term, n =4

$a_4=1+(4-1)(-4.1)\\a_4=1-12.3\\\\a_1=-11.3$

The fourth term is -11.3

For the tenth term, n =10

$a_{10}=1+(10-1)(-4.1)\\a_4=1-36.9\\\\a_1=-35.9$

The tenth term is -35.9

Answer 2

1+(1−1)×(−4.1)
=1

1+(4−1)×(−4.1)
=−11.3

1+(10−1)×(−4.1)
=−35.9