Find the 10th term of the geometric sequence 5, 25, 125,

Step-by-step explanation:

Geometric sequence 5, 25, 125,

First term = a = 5

Common ratio = r  = 2nd  term  ÷ first term

                       = 25 ÷ 5

                       = 5

n = 10

nth term = ar⁽ⁿ ⁻ ¹⁾

10th term = 5 * 5⁹

                = 5 * 1953125

                = 9765625

answer is the third choice:

3x^5+4x^4+x^3+2x^2-10x-7=0

step-by-step explanation:

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.