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

Find the common difference and the three terms in the sequence given -25, -35, -45, -55,...
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

oldgaffer1b
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: $\phantom{\rule{1ex}{0ex}}\text{}\phantom{\rule{1ex}{0ex}}d={T}_{4}-{T}_{3}.\phantom{\rule{1ex}{0ex}}\text{Or in general}\phantom{\rule{1ex}{0ex}}{T}_{n}-{T}_{n-1}$
$d=-55-\left(-45\right)=-10$
This agrees with what we can see that the terms are getting smaller, with a difference of 10 every time.
$-25+\left(-10\right)=-35..etc$
It is not clear which three terms are being asked for.