What is the recursive formula for this geometric sequence with this explicit formula?

Mathematics

1 answer:

BabaBlast [244]3 years ago

6 0

the n th term (explicit ) formula for a geometric sequence is

$a_{n}$ = $a_{1}$ $(r)^{n-1}$

The given explicit formula therefore has

$a_{1}$ = 5 and r = - $\frac{1}{8}$

The recursive formula, allows us to find the next term in the sequence from the previous term

Here the next term in the sequence is obtained by multiplying the previous term by - $\frac{1}{8}$

$a_{n}$ = $a_{n-1}$ (- $\frac{1}{8}$ ) with $a_{1}$ = 5

You might be interested in

018 10.0 points

Elina [12.6K]

Answer:

what grade

Step-by-step explanation:

7 0

3 years ago

What is the difference between the smallest 6-digit whole number and the greatest four digit whole number

kupik [55]

First, lets start with the greatest 4-digit number. That would be 9,999.99999999999, with 9 to ∞, because the next number is a 5-digit number. The smallest 6-digit number is 100,000, because the number preceding 100,000 is a 4 digit number. To find difference, you have to subtract. 100,000 minus 9,999.9999 continued gives you 90,000.000000 to ∞ with a one with 1 at the end. You would write 90,000.01 with bar notation over only the 0 to indicate that it goes on to infinity.

6 0

2 years ago

In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle. Find the measure

soldi70 [24.7K]

Given:

In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle.

To find:

The measures of the 2 acute angles of the triangle.

Solution:

Let x be the measure of one acute angle. Then the measure of another acute is (2x+12).

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees. So,

$x+(2x+12)+90=180$