In order to answer that, we would need to know the rule that gets you from one
term to the next. And if you don't tell us what the rule is, then we would need at
least three consecutive terms in order to figure it out. We don't have any of that,
so we're free to choose any rule, and every rule results in a different answer to the
question, so there's a possibility of an infinite number of different correct answers.
To put it another way, I've got a feeling that if you pick any number at all, a rule
can be found that makes it a correct answer to the question.
Examples:
-- First term is 14. (Add 1 to a term to get the next one.)
-- First term is 8. (Add 2 to a term to get the next one.)
-- First term is -4 . (Add 4 to a term to get the next one.)
-- First term is 0.3125 . (Double a term to get the next one.)
-- First term is 237.549864 . (The next term is 10(0.01 xthis term) .)
-- First term is 358.88544 . (Divide a term by the Golden Ratio to get the next one.)
There are 5 common differences between seventh and twelfth terms, so the CD is 2.5/5 ie 0.5. First term is therefore 15 - 6 x 0.5 = 12.
every next term is 4 smaller than previous so 7th term = -23
If the first term is 12 and the seventh term is 36, then we have gone up 36-12 in the space of 6 term changes. This is 24 per 6 changes, which can be written as the division 24/6. This works out as 4. Thus the common difference in the sequence is 4.
It sets the term limits for the president.
There are at least two possibilities for this analogy: The second term is half the first, or the second term is the first term minus 10. The first possibility results in 6:3 and second in 6:-4.
-34
There are 5 common differences between seventh and twelfth terms, so the CD is 2.5/5 ie 0.5. First term is therefore 15 - 6 x 0.5 = 12.
every next term is 4 smaller than previous so 7th term = -23
If the first term is 12 and the seventh term is 36, then we have gone up 36-12 in the space of 6 term changes. This is 24 per 6 changes, which can be written as the division 24/6. This works out as 4. Thus the common difference in the sequence is 4.
recession
recession
recession
recession
recession
To find the seventh term in the sequence -6, -11, -16, -21, -26, we first identify the pattern: each term decreases by 5. Therefore, the next term would be -26 - 5 = -31. Continuing this pattern, the seventh term would be -31 - 5 = -36.
The 22nd limits the term of the president. There has been no appeal.
It sets the term limits for the president.