Answer:
1, x/3, x^2/9, x^3/27, x^4/81
x^4 +3x^3+9x^2+27x+81
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81
Step-by-step explanation:
(x/3) ^i
i=0 (x/3)^0 = 1
i=1 (x/3)^1 = x/3
i=2 (x/3)^2 = x^2/3^2 = x^2/9
i=3 (x/3)^3 = x^3/3^3 =x^3/27
i=4 (x/3)^4 = x^4/3^4 =x^4/81
The sum is
1+(x/3) + x^2/9 + x^3/27 + x^4/81
We need a common denominator of 81
1*81/81 + x/3 *27/27 + x^2/9 *9/9 + x^3/27 *3/3 + x^4/81
81+27x + 9x^2 + 3x^3 +x^4
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81
Rewriting from largest power to smallest power
x^4 +3x^3+9x^2+27x+81
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81
Answer:
5
Step-by-step explanation:
The 6th term of an arithmetic progression is 35 and the 13th term is 77. find the 1st term
We know we have an arithmetic sequence.
a_n = (n - 1)*d + a_1
given:
a_6 = 35 = (6-1)*d + a_1
a_13 = (13 -1)*d + a_1 = 77
find a_1
we have 35 = 5d + a_1
and 77 = 12d + a_1
2 equations in 2 unknowns.
We can solve this.
77 = 12d + a_1
35 = 5d + a_1
minus the 2 equations from each other.
77 - 35 = 12d - 5d + a_1 - a_1
42 = 7d
d = 6
Find a_1
35 = 5*6 + a_1
35 = 30 + a_1
a_1 = 35 -30 = 5
a_1 = 5
Use comparison
x/27 = 28/3
x = 28/3 × 27
x = 252
She can bake 252 cupcakes
Answer:625
625 in delta math
Step-by-step explanation:
X=2.5
Because y ok get 5x-8 for the triangle and x+2 for the square set them up to 5x-8=x+2 and you solve yo get 4x=10 and once you divide you get 2.5