2 years ago

8

Mathematics

2 answers:

3241004551 [841]2 years ago

7 0

I'm sorry I don't know

VMariaS [17]2 years ago

3 0

Answer:

Good luck Dude

Step-by-step explanation:

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The product of two consecutive even positive integers is one hundred twenty. fined the integers

AfilCa [17]

Product is multiplication:

x * (x+2) = 201

x^2 +2x = 120

x^2 + 2x -120 = 0

(x+12) (x-10) = 0

x = -12 and x = 10

-12 x -1 = 12

the 2 numbers are 10 and 12

3 0

2 years ago

Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15.

Naya [18.7K]

It's a geometric sequence.

$4,-12,36,... \\ \\
a_1=4 \\
r=\frac{a_2}{a_1}=\frac{-12}{4}=-3 \\ \\
a_n=a_1 \times r^{n-1} \\
a_n=4 \times (-3)^{n-1} \\
a_n=4 \times (-3)^{-1} \times (-3)^n \\
a_n=4 \times (-\frac{1}{3}) \times (-3)^n \\
a_n=-\frac{4}{3}(-3)^n$

It's the sum for term 4 through term 15.

$\boxed{ \sum\limits_{n=4}^{15} (\frac{4}{3}(-3)^n)}$