Please Help Quick Jayden used the multiplication table below to determine that 8:14 is equivalent to 24:42.

Which statement explains why Jayden’s reasoning is correct?
The ratio 8:14 is 4:7 times 2, and the ratio 24:42 is 4:7 times 6.
The terms 8 and 14 are multiples of 2, and the terms 24 and 42 are also multiples of 2 when the table is extended.
The term 24 is a multiple of the term 8, and the terms 14 and 42 are multiples of 7.
The ratio 8:14 is equivalent to 2:7, and the ratio 24:42 is also equivalent to 2:7.

answer: 1 + 1 = 11

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