Write a variable expression to describe the rule for the sequence. then find the 10th term. 15,13,11, 9..

The variable expression to describe the rule of sequence is And the 10th term is -3

Solution:

The given series is 15, 13, 11, 9 ….

The given series is arithmetic series with common difference "-2"

From the above series we get,

First term

Second term

And so on.

Common difference =

The nth term of Arithmetic progression is given as:

Where "a" is the first term of sequence

"n" is the nth term

"d" is common difference between terms

Which is the required variable expression to describe the rule for the given sequence

Finding 10th term:

Substitute n = 10 in above variable expressi

Hence the 10th term is -3

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5

x equals 1

step-by-step explanation:

f(4)=f(×)

x=1