<span>2·2ˣ⁺² - 3·2ˣ⁺¹ - 5·2ˣ = -6
</span><span>2·4*2ˣ - 3·2*2ˣ - 5·2ˣ = -6
</span>8*2ˣ - 6*2ˣ - 5·2ˣ = -6
-3*2ˣ= -6
2ˣ=-6/-3
2ˣ=2
x=1
1) -9х + (14+6х) = 11-х
-9х +14 +6х +х = 11
-9х + 6х +х = 11 - 14
-2х = -3
-2х = - 3
х=1,5
2) 4х+2(х-5) = 3х -13
4х +2х -10 = 3х -13
4х+2х-3х = -13 +10
3х = -3
х = -1
1) Sn=(2a₁+d(n-1))/2*n
n=14, d=8, a₁=4
S₁₄=(2*4+8(14-1))/2*14=(8+104)/2*28=56*28=1568.
2) Sn=(b₁*(q^n-1))/(q-1)
q=2,5
b₄=b₁*q^3
500=b₁*(2,5)^3
b₁=500/15,625
b₁=32
S₄=(32*((2,5)^4-1))/(2,5-1)=812
3) a₁=7, a₅=112,
bₙ=b₁*q^(n-1)
b₅=b₁*q⁴
q⁴=b₅/b₁
q⁴=112/7
q⁴=16
q=2
a₁=7, a₂=14, a₃=28, a₄=56, a₅=112
Геометрична прогресія
7,14, 28, 56, 112.