Need finding sequence rule asap, double 12 point reward!

the easiest way is to plug and chug since you are given options

Q3

the first term is 17

plug in 1 for n and see which ones give you 17 as the result

the only one is 2nd option

answer is 2nd option or

Q4

plug and chug

first term is 14

put 1 for n and see which one give you 14

only one is 2nd option

answer is 2nd option or

Arithmetic sequences are generated by taking some initial term and continually adding or subtracting a constant term from it. What this means is that the differences between neighboring pairs of terms will always be the same - that difference gives us our constant term.

The first sequence contains the terms 17, 22, 27, 32, etc. Taking the differences of the neighboring pairs, we find that 22 - 17 = 27 - 22 = 32 - 27 = 5. If we start with 12 and add 5 once, we get 17; if we add 5 twice, we get 22, and so on. Written out in equation form:

17 = 12 + 5(1)

22 = 12 + 5(2)

27 = 12 + 5(3)

and in general, .

In the second sequence, we obtain each following term by subtracting 5 from the previous one, which has the same effect as adding -5. We add -5 to 19 once to get 14, twice to get 9, etc. Again, in equation form, that's

14 = 19 + (-5)(1)

9 = 19 + (-5)(2)

4 = 19 + (-5)(3)

and in general,

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