Answer:
22
Step-by-step explanation:
In the series 14 + 6 + (–2) + (–10) + . . . + (–154)
The gap between entities is 8.
Therefore number of entities between -10 and -154 = (154 - 10)/8 =18
Total number of terms in the series = 18 + 4 = 22
There are 22 terms in the given arithmetic series.
An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.
If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:
a, a + d, a + 2d, ... , a + (n+1)d, ...
Its nth term is
T_n = a + (n-1)d
(for all positive integer values of n)
In the given arithmetic series 14 + 6 + (–2) + (–10) + . . . + (–154)
The common difference between entities is 8.
Therefore, the number of entities between -10 and -154
= (154 - 10)/8
=18
The Total number of terms in the series = 18 + 4 = 22
Hence, there are 22 terms in the given arithmetic series.
Learn more about arithmetic sequence here:
https://brainly.com/question/3702506
#SPJ2
