Question

1,4,7,10 find the algebraic form of this arithmetic sequences

Answer 1

Answer:

n = 1 + 3(n - 1)

Step-by-step explanation:

1, 4, 7, 10

Common difference (d) in every two successive terms is 3

1st term (a) = 1

2nd term = a + d = 1 + 3 = 4

3rd term = a + d + d = 1 + 3 + 3 = 7

4th term = a + d + d + d = 1 + 3 + 3 + 3 = 10

Number of "d" in above equations are 1 less than the term (For e.g to find out 4th term we've added 3 "d"s which is 4 - 1)

From above sequence we can say, for nth term

n = a + (n - 1)d

n = 1 + (n - 1)3