Answer:
1785
Step-by-step explanation:
16+19+22+25+28+31+34+37+40+43+46+49+52+55+58+61+64+67+70+73+76+79+82+85+88+91+94+97+100+103=1785
Answer:
Step-by-step explanation:
The above sequence is an arithmetic sequence
The sum of an nth term of an arithmetic sequence is written as
[tex] \frac{n}{2} (2a + (n - 1)d)[/tex]
Where n is the number of terms
a is the first term
d is the common difference
From the question
n is 30
a is 16
d = 19 - 16 = 3
So the first 30 terms of the series is
[tex] \frac{30}{2} (2(16) + (30 - 1) \times 3) \\ = 15(32 + 29 \times 3) \\ = 15(32 + 87) \\ = 15(119) \\ = 1785[/tex]
Hope this helps you.
