Question

How many terms are there in the Arithmetic sequence 1 ,4, 7 ,10 ,to 220 etc​

Answer 1

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A.P. => 1,4,7,10 . . . .220.

so, here

a1 =1 , a2 = 4

difference d = a2 -a1

d = 4-1 => 3

d = 3

An = 220

using formula ,

An =a+(n-1)×d

$220 = 1 + (n - 1) \times 3 \\ 220 = 1 + 3n - 3 \\ 220 = 3n - 2 \\ 3n = 220 + 2$

$3n = 222 \\ n = \frac{222}{3} \\ n = 74$

$the \: no. \: of \: terms \: are \: 74$

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