Question

Which term of the AP :3,8,13,18,...,is 78?



$solution \:$

$a = 3$
$d = 8 - 3 \\ = 5$
$a +(n - 1)d \: = 78$
$3 + (n - 1)5 = 78$
$3 + 5n - 5 = 78$
$- 2+ 5n = 78$
$5n = 78 + 2$
$5n = 80$
$n = \frac{80}{5}$
$n = 16$
$16 {}^{th} \: term \: of \: z \: ap \: 3,8,13,.... \: is \: 78$


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Answer 1

Answer:

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Step-by-step explanation:

=HCF of 24 and -42 = 6

24/6 = 4

-42/6= -7

=-7/4