hifadhinitz

2022-09-06

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

oldgaffer1b

Beginner2022-09-07Added 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.

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