The nth term of an arithmetic sequence is expressed as Tn = a +(n - 1)d. The 157th term of the sequence is 2180
Arithmetic sequence
The nth term of an arithmetic sequence is expressed as:
Tn = a +(n - 1)d
where
- a is the first term
- d is the common difference
- n is the number of terms
If -4 is the first term and 10 is the third term, then;
a = -4
a + d = 10
d = 10 - (-4)
d = 14
Determine the 157th term
T157 = -4 + (157 - 1)(14)
T157 = -4 + (156*14)
T157 = 2180
Hence the 157th term of the sequence is 2180
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