6. Which term of the A.P 3.8.13.18......... is 78?
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Answer: n = 16
Step-by-step explanation: here we have , a = 3 , d = a2 - a1 = 8 - 3 = 5
we should take 78 as nth term
and
as we know that ,
nth term of an a.p. = a + (n - 1)d
by substituting values we get , 78 = 3 + (n - 1 )5
78 - 3 = 5n - 5
75 + 5 = 5n
80/5 = n
n = 80/ 5
n = 16 which is the required answer
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