Question

write the common difference.
6 th term 24 and 16th term84?
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Answer 1

Answer: 6

Step-by-step explanation:

Answer 2

Answer:

$\bigstar{\bold{Common\:difference\:=\:6}}$

Step-by-step explanation:

$\Large{\underline{\underline{\bf{Given:}}}}$

• Sixth term (a₆) = 24
• Sixteenth term (a₁₆) = 84

$\Large{\underline{\underline{\bf{To\:Find:}}}}$

• Common difference (d) of the AP

$\Large{\underline{\underline{\bf{Solution:}}}}$

➵ Common difference between any 2 terms of an AP is given by the    formula

    $d\:=\:\dfrac{a_m\:-\:a_n}{m\:-\:n}$

    where $a_m$ = 84, $a_n$ = 24, m = 16, n = 6

➵ Substituting the given datas, we get

    $d\:=\:\dfrac{84\:-\:24}{16\:-\:6}$

    $d\:=\:\dfrac{60}{10}$

    $d\:=\:6$

    $\boxed{\bold{Common\:difference\:=\:6}}$

$\Large{\underline{\underline{\bf{Notes:}}}}$

➵ The common difference of an AP is the difference between its two consecutive terms.

➵ The formulae for finding common difference are

    $d\:=\:a_2\:-\:a_1$

    $d\:=\:\dfrac{a_m\:-\:a_n}{m\:-\:n}$