Find the common difference and the three terms in the sequence given -25, -35, -45, -55,...

hifadhinitz
2022-09-06
Answered

Find the common difference and the three terms in the sequence given -25, -35, -45, -55,...

You can still ask an expert for help

oldgaffer1b

Answered 2022-09-07
Author has **9** answers

The common difference is the difference between any two consecutive terms in an arithmetic sequence.

You can find it by subtracting any term from the next term.

For example: $\phantom{\rule{1ex}{0ex}}\text{}\phantom{\rule{1ex}{0ex}}d={T}_{4}-{T}_{3}.\phantom{\rule{1ex}{0ex}}\text{Or in general}\phantom{\rule{1ex}{0ex}}{T}_{n}-{T}_{n-1}$

$d=-55-(-45)=-10$

This agrees with what we can see that the terms are getting smaller, with a difference of 10 every time.

$-25+(-10)=-35..etc$

It is not clear which three terms are being asked for.

You can find it by subtracting any term from the next term.

For example: $\phantom{\rule{1ex}{0ex}}\text{}\phantom{\rule{1ex}{0ex}}d={T}_{4}-{T}_{3}.\phantom{\rule{1ex}{0ex}}\text{Or in general}\phantom{\rule{1ex}{0ex}}{T}_{n}-{T}_{n-1}$

$d=-55-(-45)=-10$

This agrees with what we can see that the terms are getting smaller, with a difference of 10 every time.

$-25+(-10)=-35..etc$

It is not clear which three terms are being asked for.

asked 2022-10-15

Find the sum of the arithmetic sequence having the data given ${a}_{1}=5$, ${a}_{n}=3$, n = 20

asked 2022-01-25

How can functions be helpful in describing sequences?

asked 2022-10-14

Write a rule for the nth term of the geometric sequence given the two terms $a}_{2}=4,{a}_{5}=\frac{256}{27$

asked 2022-11-03

A radioactive isotope has a half-life of 9 hours. How do you find the amount of the isotope left from a 80-milligram sample after 54 hours?

asked 2022-09-15

Find the five terms of the arithmetic sequence ${a}_{1}=14$ and d=-2

asked 2020-11-01

The regular price of a pair of pants is $38.00. The pants are discounted 35%. How much do the pants cost after the discount is applied?

asked 2022-09-23

How do you determine if 15,-5,-25,-45 is an arithmetic or geometric sequence?