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.

henry ordered 5 large pizzas

step-by-step explanation:

sorry no step by step

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.