A1=8
common ratio=r
sum of 6 terms
S=a1+a2+a3+...+a6
=a1(1+r+r^2+...+r^5)
=a1(r^6-1)/(r-1)
but we're given S=74648
=>
8(r^6-1)/(r-1)=74648
Cross multiply and solve for r (by trial and error)
r^6-1=9331(r-1)
r=6
so
a(3)=a1*r^(3-1)
=8*(6^2)
=288
Answer:
Altogether she will spend $133 on clothes
Step-by-step explanation:
1 sweater = $37
3 sweaters = $37 × 3
= $111
1 scarve = $11
2 scarves = $11 × 2
= $22
total = $111 + $22
= $133