Question

Which tearm of AP - 3,- 1/2,2,9/2,7 is 47?

Answer 1

Answer:

21

Step-by-step explanation:

step by step explanation is given in photo

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Answer 2

given=>

AP =-3, -1/2, 2,9/2, 7--------47

to find =>

$= > a_{n} = 47 \\ \\ n =value$

solution=>

we know that

$= > a_{n} = a + (n - 1)d \\ \\ where \: a = first \: term \: \\ n = number \: of \: term \\ d = distance$

given AP

=>a=-3

$= > d = a_{2} - a_{1} \\ \\ = > d = - \frac{1}{2} - ( - 3) \\ \\ = > d = - \frac{1}{2} + 3 \\ \\ = > d = \frac{5}{2} \\ \\ given \\ \\ = > a_{n} = 47 \\ \\ = > - 3 + (n - 1) \frac{5}{2} = 47 \\ \\ = > \frac{5}{2} n = 47 + 3 + \frac{5}{2} \\ \\ = > n= \frac{105 \times 2}{2 \times 5} \\ \\ = > n = \frac{105}{5}$

n=21

__________________________

AP =-3, -1/2, 2,9/2, 7

47 is 21 term

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