3 years ago

Help find the missing number for x

Mathematics

1 answer:

elena55 [62]3 years ago

3 0

Answer:

Step-by-step explanation:

x² = 40²+9²

= 1600+81

= 1681

x= √1681 = 41

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6 more than the square of r is same as 33 .

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Answer:

r^2+6=33

Step-by-step explanation:

The square of r means r^2 and 6 more means +6, so r^2+6=33

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Answer:

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Step-by-step explanation:

Step-by-step explanation:

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The fourth term of a sequence is 108. Each term after the first is 3 times the previous term. Write an explicit expression that

marishachu [46]

Answer:

$f(n)=4(3)^{n-1}$

Step-by-step explanation:

Let the first term be $x$ , then the terms of the sequence are:

$x,3x,9x,27x,81x,...$ .

Since the fourth term is 108, we have

$27x=108$

$\implies x=4$

Hence the sequence becomes:

$4,12,36,108,324,...$ .

The explicit expression for a geometric expression is given by:

$f(n)=ar^{n-1}$

where a=4 and r=3

The required formula is:

$f(n)=4(3)^{n-1}$

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