Question

What is the 46th term of the arithmetic series 1, 8, 15, … ?

Answer 1

a series is different from a sequence. a series is the sum of a sequence.

Answer 2

are you being asked to find the 46th partial sum? or are you being asked to find the 46th term of this sequence?

Answer 3

S1 = a1 = 1
S2 = a1 + a2 = 8
S3 = a1 + a2 + a3 = 15

a1 = 1
a2 = 7
a3 = 7

does not exhibit an arithmatic sequence

Answer 4

so most likely you are askng for the 46th term of an arithmatic sequence