Respuesta :
Answer:
1,848
Step-by-step explanation:
Find the arithmetic pattern:
*Arithmetic means addition or subtraction*
To get from 8 to 14, we must add 6.
To get from 14 to 20, we must add 6.
The arithmetic pattern is 6.
List the rest of the terms (24 terms total):
8, 14, 20, 26, 32, 38, 44, 50, 56, 62, 68, 74, 80, 86, 92, 98, 104, 110, 116, 122, 128, 134, 140, 146
Formula:
Sn = n (a1 + an/2)
a1 = first term
an = last term
n = number of terms
Sn = 24 (8 + 146/2)
Sn = 24 (154/2)
Sn = 24 (77)
Sn = 1,848
Answer:
1848
Step-by-step explanation:
a=8
d=14-8=6
n=24
[tex]S_{n}=\frac{n}{2} [2a+(n-1)d]\\S_{24}=\frac{24}{2} [2 \times 8+(24-1)6]\\=12[16+138]\\=12 \times 154\\=1848[/tex]