3 years ago

The product of two positive integer numbers is 30 and the sum of the same two numbers is 11. Find the

Mathematics

1 answer:

vampirchik [111]3 years ago

3 0

Answer:

5 and 6

Step-by-step explanation:

call them a and b, respectively

we have a*b=30 -> a=30/b

a+b=11 -> b+ 30/b=11

b=6 and a=5

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Find the explicit formula for the sequence? -1,4,-16,64......

Ede4ka [16]

The explicit formula for given sequence is: $a_n = -1 . (-4)^{n-1}$

Step-by-step explanation:

Given sequence is:

-1,4,-16,64.....

We can see that there is no same difference between consecutive terms so we will find common ratio to see if it is a geometric sequence.

Here

$a_1 = -1\\a_2 = 4\\a_3 = -16\\a_4 = 64\\r = \frac{a_2}{a_1} = \frac{4}{-1} = -4\\r = \frac{a_3}{a_2} = \frac{-16}{4} = -4$

The explicit formula for geometric sequence is:

$a_n = a_1r^{n-1}$

Putting the values of r and a1

$a_n = -1 . (-4)^{n-1}$

Hence

The explicit formula for given sequence is: $a_n = -1 . (-4)^{n-1}$

Keywords: Geometric sequence, common ratio

Learn more about geometric sequence at:

#learnwithBrainly

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