Write an explicit and a cursive equation for the geometric sequence a. 2, 10, 50, 250, 1250, . . .

6250, 31250, 156250, 781250

hope it may help you

Step-by-step explanation:

The given sequence is exponential with a first term of a1 = 2 and a common ratio of r = 10/2 = 5.

The explicit equation for an exponential sequence is ...

  a(n) = a(1)×r^(n -1)

So, for the given parameters, the explicit equation is ...

  a(n) = 2×5^(n -1)

__

The recursive equation for any series defines the next term as a function of previous terms. For a geometric sequence the next term is the previous term multiplied by the common ratio. For this sequence, the recursive definition is ...

  a(1) = 2

  a(n) = 5×a(n-1)

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

step-by-step explanation: