Question

Arithmetic Progression

Find the middle term of AP with 17 terms whose fifth term is 23 common difference is -2.

The correct answer will be marked the brainliest

Answer 1

n = 17 terms

d, Common difference = -2

5th term = 23

A5 = a + ( 5 - 1 ) ( - 2 )

23 = a + 4 (- 2) = a - 8

a = 23 +8 = 31


For mid term, n = odd = ( n + 1 ) /2 = 18 / 2 = 9th Term

9th term = a + 8d

A9 = 31 + 8 ( - 2 ) = 31 - 16 = 15

$<h4>Middle term, A9 = 15$

Answer 2

Answer:

Step-by-step explanation:17+1/2=9

9th term is the middle term

5th term =a+(n-1)d

             23= a+(17-1)-2

                 =a+4x-2

                 23=a+-8

                  a=23+8

                   a=31

middle term i.e,9th term=31+8x-2

                                         =31-16

                            middle term=15                

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