Answer:
Step-by-step explanation:
If you want to find out how many times larger something is than something else, you have to divide. We will set up a problem that looks like this:

Diving 2.1 by 4.2 gives us .5; to divide the exponents, we remember that if we divide like bases we have to subtract the exponents. 10 is our base in both cases, so 8 - 2 gives us 6, resulting in:

However, this isn't in scientific notation. We need to move the decimal one more place to the right, which in trn reduces the exponent by 1:

Answer:
3906250
Step-by-step explanation:
We can notice that the ratio is 5. 10/2 = 5
Each term gets multiplied by 5 to get the next term.
250 × 5 = 1250 (5th term)
1250 × 5 = 6250 (6th term)
6250 × 5 = 31250 (7th term)
31250 × 5 = 156250 (8th term)
156250 × 5 = 781250 (9th term)
781250 × 5 = 3906250 (10th term)
The 10th term of the geometric sequence is 3906250.
A direct proportional variation, is really just a slope-intercept form of equation, except that the y-intercept is always 0, and the constant of variation "k" is the slope pretty much.