Find the 10th term of the geometric sequence 10, -20, 40, ...

-5120

Step-by-step explanation:

a = 10

r = -2

Tenth term: 10(-2)⁹

= -5120

the 10th term is - 5120

Step-by-step explanation:

In a geometric sequence, consecutive terms differ by a common ratio.

The formula for determining the nth term of a geometric progression is expressed as

an = a1r^(n - 1)

Where

a1 represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the information given,

a1 = 10

r = - 20/10 = 40/ - 20 = - 2

n = 10

The 10th term, T10 is

T10 = 10 × - 2^(10 - 1)

T10 = 10 × - 2^9

T10 = 10 × - 512

T10 = - 5120

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet