Let the first term be a(0). Then the formula for a(n) is a(0)-18(n-1).
Check: What's the first term? Let n = 1: a(1) = a(0)-18(1-1) = a(0) (correct)
What's the second term? Let -n =2: a(2) = a(0)-18(2-1) = a(0) - 18
and so on.
In order it goes like this
- 4^ x - 1 = 3^ (-x) - 2
- 3 x + 6 = 2^ x + 1
3^ x - 3 = 2 x - 2
so the question is the answer
Check the picture below.
so the figure is really just 3 rectangles and two triangles.
simply get the area of all 5, sum them up, and that's the area of the figure.
recall that area of a triangle A = ½bh.
Answer:
1. 1458
2. 500 or -500
Step-by-step explanation:
1. a4=54, a5=162
r = 162/54 = 3
a7 = a5 × r²
= 162 × 3² = 1458
2.a4=-4, a6=-100
r² = -100/-4 = 25
r = +/- 5
a7 = a6 × r
= -100 × +/- 5
= +/- 500
77.) x= {-5, 6}
78.) x= {-4, 9}
79.) x= {5/3, 2}
80.) x= {1/9, 3}
81.) x= {-6, 18}
82.) x= {-3√3 +4, 3√3 +4}
83.) x= {-7, -3}
84.) x= {-√85 +9 /2, √85 -9 /2}