The 5th term of an AP is 11 and the 9th term is 7. Find the 16th term

16th term is 0.

S1ep-by-step explanation:

5th term = a1 + d(5 - 1) = 11    where a1 = first term and d = common difference

9th term = a1 +d(9 - 1) = 7    where a1 = first term and d = common difference.

a1 + 4d = 11

a1 + 8d = 7

Subtracting:

4d - 8d = 11-7

-4d = 4

d = -1.

So a1 = 11 - 4(-1) = 15.

16th term = 15 - 1(16-1)

= 15 - 15

= 0.

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: