Iam f years old and my brother is b years older. what is the sum of our ages? what will be the sum of our ages in three years? what was the difference of our ages two year ago

a) The sum of your ages is F + (F+B) = 2F+B.

b) In 3 years, the sum of your ages will be (F+3)+(F+B+3) = 2F+B+6.

c) The difference of your ages at any time is B.

nada

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for