What is the 10th term of the geometric sequence 400, 200, 100…?
a. 0.09765625
b. 0.390625
c. 0.78125
d. 1.5625

1. B

2. A

3. C

4. A

5. B

6. C

7. B

Skip, 8,9,12,13,14

10. A

11. C

 The correct option is (C). 0.78125.

Step-by-step explanation:  We are given to find the 10th term of the following geometric sequence

400,  200,  100, . . . .

We know that,

the n-th term of a geometric sequence with first term a and common ration r is given by

In the given sequence,

first term, a = 400

and

common ration is given by

Therefore, the 10th term of the sequence is

Thus, the correct option is (C). 0.78125.

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb

answer: 100

step-by-step explanation: