The first term of a sequence is -87. each successive term is created by adding 7 to its previous term. the number 165 is which numbered term in the sequence?

Step-by-step explanation:

The 36th sequence

Answer :  

The first term of a sequence is -87. 165 is 37th term of given Arithmetic sequence.

Solution:  

Given that ;

First term of the sequence  

Also each successive term is created by adding 7 to its previous term. This means given sequence is an arithmetic sequence with common difference d = 7.

Let’s say 165 be term of above arithmetic sequence that is = 165. We need to determine n.

Formula of term of arithmetic sequence is as follows:

where is the first term of the sequence

"d" is the common difference ratio

Substituting the given values we get

165 = -87 + (n-1) 7  

165 + 87 = 7n – 7

7n = 165 + 87 + 7  

n = = 37

Hence 165 is 37th term of given Arithmetic sequence.

answer: the correct answer is -32

step-by-step explanation:

$2416.6

step-by-step explanation:

per hour = $ 25

total work time = 35

commission = 15%

total she has to make = $ 4,500

let she sold x dollar products

so her commission will be 15 % of x

now

total = weekly basic pay + commission

4500= (25*35) + 15 % of x

4500=875 + * x

4500-875 =   * x

3625= * x

multiplying wwith 100 on both sides gives

36250 = 15 x

now

x =  

x= $2416.6