Question

Write 17 term of an AP, whose nth term is 5(n+3).​

Answer 1

Answer:

a17= 5×20=100

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Answer 2

Answer:

$\sf \: T_n =5n+3 \\\\\\ \sf \: T_1 =5(1)+3=8\\\\\\ \sf T_2 =5(2)+3=13\\ \\ \\ \sf \: d=T_2 −T_1=13 - 8=5 \\\\\\ \sf \: a=T_1 =2$

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$\sf \: T_{17}=a+(17-1) d \\ \\ \sf \: = a + 16d \\ \\ \sf = 2 + 16 \times 5 \\ \\ \sf = 2 + 80 \\ \\ \sf = 82$

17th term of this AP is 82.