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Oh, dude, you're hitting me with the math questions, huh? So, the formula for finding the nth term of an arithmetic sequence is a + (n-1)d, where a is the first term and d is the common difference. In this sequence, the common difference is 8 (because each term increases by 8), and the first term is 14. So, the formula for the nth term would be 14 + 8(n-1). You're welcome.
The nth term would be -2n+14 nth terms: 1 2 3 4 Sequence:12 10 8 6 This sequence has a difference of -2 Therefore it would become -2n. Replace n with 1 and you would get -2. To get to the first term you have to add 14. Therefore the sequence becomes -2n+14. To check your answer replace n with 2, 3 or 4. You will still obtain the number in the sequence that corresponds to the nth term. :)
8
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To find the common ratio of a geometric sequence, we divide each term by its preceding term. However, the sequence provided (12, -14, 18, -116) does not exhibit a consistent ratio, as the ratios between consecutive terms are -14/12, 18/-14, and -116/18, which are not equal. Therefore, this sequence is not geometric and does not have a common ratio.
The given sequence (7, 14, 21, 28, 35,....) is an arithmetic sequence where each term increases by 7. The nth term of the given sequence is 7n
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The sequence of differences between consecutive numbers is 9, 1, -20, 9, 1. If this continues then the next difference is -20 and therefore the seventh number is -5. (15 - 20).
Oh, dude, you're hitting me with the math questions, huh? So, the formula for finding the nth term of an arithmetic sequence is a + (n-1)d, where a is the first term and d is the common difference. In this sequence, the common difference is 8 (because each term increases by 8), and the first term is 14. So, the formula for the nth term would be 14 + 8(n-1). You're welcome.
875
In a geometric sequence, the nth term can be calculated using the formula ( a_n = a_1 \cdot r^{(n-1)} ). Given that the first term ( a_1 = -14 ) and the common ratio ( r = \frac{1}{2} ), the 4th term is calculated as follows: [ a_4 = -14 \cdot \left(\frac{1}{2}\right)^{3} = -14 \cdot \frac{1}{8} = -\frac{14}{8} = -\frac{7}{4}. ] Thus, the 4th term in the sequence is (-\frac{7}{4}).
-34 would be the 15th term.
They are: nth term = 6n-4 and the 14th term is 80
The nth term would be -2n+14 nth terms: 1 2 3 4 Sequence:12 10 8 6 This sequence has a difference of -2 Therefore it would become -2n. Replace n with 1 and you would get -2. To get to the first term you have to add 14. Therefore the sequence becomes -2n+14. To check your answer replace n with 2, 3 or 4. You will still obtain the number in the sequence that corresponds to the nth term. :)
62