Given u1 = 56 and un = 0.7un-1, find s12. round to the nearest hundredth a) 181.39 b) 184.08 c) 185.32 d) 186.66

Step-by-step explanation:

      form a sequence exhibiting the following property :

On rewriting, ⇒ Ratio of consecutive terms is a constant. Hence, the sequence is a Geometric Progression.

       The ratio is the common ratio . First term = .

       Sum of terms of a Geometric progression is given by

when .

∴ to the nearest hundreth is 184.08

sine

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.