Question

find the n term if 6th term is 12 and 8th term is 22​

Answer 1

subtract both terms

solve it to find a, d

then find value of nth term using it formula

Answer 2

Answer:

let a be the first term of the series and d be the common difference then

term n = a + ( n - 1 ) d

term 6 = 12 = a + 5d -------- ( 1 )

term 8 = 22 = a + 7d -------- ( 2 )

( 2 ) - ( 1 ) => 2d = 10

=> d = 5

( 1 ) => 12 = a + 5(5)

=> a = ( - 13 )

term n = a + ( n - 1 ) d

=> term n = ( - 13 ) + ( n - 1 ) d

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