Answer:
2415
Step-by-step explanation:
The sum of a finite arithmetic sequence is given by the formula:
[tex]S = (2a_1 + (n - 1)d)\frac n2[/tex]
In your case, a1 = 1, d = 4 (each new term is incremented by 4) and n = 35 (137 is the 35th term in the sequence).
We can plug in these values to find the sum of the series.
[tex]S = (2 \times 1 + (35 - 1)\times4)\times\frac{35}2\\\to S = (2 + 136)\times 17.5\\\to S = 138 \times 17.5\\\to S = 2415[/tex]
