Here are the first four terms in a sequence: 6, 10, 14, 18 the number 102 is NOT a term in this sequence. explain why.

thanks :)

common difference = 4

if 102 is a term in sequence n should have non decimal value

a +(n-1)d = 102

0r 6 + (n-1)4= 102

0r, 4(n-1) = 96

or n-1 =24

n =25

102 is in a sequence

Step-by-step explanation:

step-by-step explanation:

no of data

divide by no of mode

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.