Question

in the list of numbers 5 8 11 14 each number is 3 more than the number before it what is the first number in the list that is greater than 100​

Answer 1

Answer:

Step-by-step explanation:

Sequences of numbers that follow a pattern of adding a fixed number from one term to the next are called arithmetic sequences. The following sequences are arithmetic sequences:

Sequence A:   5 , 8 , 11 , 14 , 17 , ...

Sequence B:   26 , 31 , 36 , 41 , 46 , ...

Sequence C:   20 , 18 , 16 , 14 , 12 , ...

   For sequence A, if we add 3 to the first number we will get the second number. This works for any pair of consecutive numbers. The second number plus 3 is the third number: 8 + 3 = 11, and so on.

Arithmetic Sequence A

   For sequence B, if we add 5 to the first number we will get the second number. This also works for any pair of consecutive numbers. The third number plus 5 is the fourth number: 36 + 5 = 41, which will work throughout the entire sequence.

   Sequence C is a little different because we need to add -2 to the first number to get the second number. This too works for any pair of consecutive numbers. The fourth number plus -2 is the fifth number: 14 + (-2) = 12.

Answer 2

Answer:

101

Step-by-step explanation:

Let us check whether 100 belongs to AP or not

So 100= a+(n-1)d

100=5+(n-1)3

95=(n-1)3

n-1= 95/3=31.6 so 100 does not belong to AP but as we put 101 in place of 100 we get n=33 therefor 101 is correct answer