PLEASE HELP - image attachment below, thanks! :)

Mathematics

2 answers:

CaHeK987 [17]1 year ago

8 0

32 as well according to some rule in geometry

nadya68 [22]1 year ago

7 0

What is the measure of R is 32 the answer

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The sum of 3x^2+4x-2 and x^2-5x+3 is

Diano4ka-milaya [45]

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4x^2-x+1

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3 years ago

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What is the 7th term of the geometric sequence where a1 = -625 and a2 = 125

kykrilka [37]

Since the sequence is geometric, there is some constant $r$ such that the sequence is recursively given by

$a_n=ra_{n-1}$

By this definition, you can recursively substitute into the right hand side the definition for $a_{n-1},a_{n-2},\ldots$ to find an explicit formula for the $n$ th term.

$a_n=ra_{n-1}=r^2a_{n-2}=r^3a_{n-3}=\cdots=r^{n-1}a_1=-625r^{n-1}$

You know the second term, which means you can find $r$ :

$a_2=-625r^{2-1}\implies125=-625r\implies r=-\dfrac15$

So, the 7th term of the sequence is

$a_7=-625\left(-\dfrac15\right)^{7-1}=-\dfrac1{25}$