👤

5. Find the sum of the first 20 terms of the arithmetic sequence: 9, 14, 19, 24, ...? ? a. 1130 b. 1133 c. 1135 d. 1137 0.26 9 12 15 2.​

Sagot :

Answer:

A. 1130

Step-by-step explanation:

find [tex]a_{20}[/tex] first:

[tex]a_{n} =a_{1}+(n-1)d\\a_{20}=9+(20-1)5\\a_{20}=9+(19)5\\a_{20}=9+95\\a_{20}=104[/tex]

Solution:

[tex]S_{n}= \frac{n}{2} (a_{1}+a_{n})\\S_{n}= \frac{20}{2} (9+104)\\S_{n}= \frac{20}{2} (113)\\S_{n}= 10(113)\\S_{n}= 1130[/tex]