Notes: `4, 9, 14, 19, 24` Determine whether the sequence is arithmetic. If so, find the common difference.

Tuesday, August 9, 2016

$\displaystyle{4},{9},{14},{19},{24}$

A sequence is arithmetic when its terms continually increase or decrease by the same number called as the common difference.

So, let's find the common difference,

$\displaystyle{a}_{{2}}-{a}_{{1}}={9}-{4}={5}$

$\displaystyle{a}_{{3}}-{a}_{{2}}={14}-{9}={5}$

$\displaystyle{a}_{{4}}-{a}_{{3}}={19}-{14}={5}$

$\displaystyle{a}_{{5}}-{a}_{{4}}={24}-{19}={5}$

So the terms are increasing by the common difference of 5 which shows that the sequence is arithmetic.

$\displaystyle{4},{9},{14},{19},{24}$

A sequence is arithmetic when its terms continually increase or decrease by the same number called as the common difference.

So, let's find the common difference,

$\displaystyle{a}_{{2}}-{a}_{{1}}={9}-{4}={5}$

$\displaystyle{a}_{{3}}-{a}_{{2}}={14}-{9}={5}$

$\displaystyle{a}_{{4}}-{a}_{{3}}={19}-{14}={5}$

$\displaystyle{a}_{{5}}-{a}_{{4}}={24}-{19}={5}$

So the terms are increasing by the common difference of 5 which shows that the sequence is arithmetic.

Notes