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Q: What is the 7th term in the sequence for which a1 equals 10 and D equals -3?

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10

1/10 to the 7th power equals 1,000,000

The nth term of a sequence is the general formula for a sequence. The nth term of this particular sequence would be n+3. This is because each step in the sequence is plus 3 higher than the previous step.

7

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 10.

58,500,000.

54,360,000,000.

The sequence progresses by adding 7 to the previous term.The nth term is thus equal to 10 + 7n. The 11th term therefore is equal to 10 + (7 * 11) = 10 + 77 = 87.

6n+10

7n - 4

-34

A sequence where a particular number is added to or subtracted from any term of the sequence to obtain the next term in the sequence. It is often call arithmetic progression, and therefore often written as A.P. An example would be: 2, 4, 6, 8, 10, ... In this sequence 2 is added to each term to obtain the next term.

-34 would be the 15th term.

Arithmetic- the number increases by 10 every term.

10-2x for x = 0, 1, 2, 3, ... Since the domain of an arithmetic sequence is the set of natural numbers, then the formula for the nth term of the given sequence with the first term 10 and the common difference -2 is an = a1 + (n -1)(-2) = 10 - 2n + 2 = 12 - 2n.

The nth term is 7n-4 and so the next number in the sequence is 31

sequence 4 5 6 sum =10 sequecnce 0 5 10 sum=10

10

The sequence S = 2, 2, 4, 6, 10, 16, 26, ... is the Fibonacci sequence multiplied by 2. Like the Fibonacci sequence, each term is found by adding the two previous terms, so Sn = Sn-1 + Sn-2.

By "the nth term" of a sequence we mean an expression that will allow us to calculate the term that is in the nth position of the sequence. For example consider the sequence 2, 4, 6, 8, 10,... The pattern is easy to see. # The first term is two. # The second term is two times two. # The third term is two times three. # The fourth term is two times four. # The tenth term is two times ten. # the nineteenth term is two times nineteen. # The nth term is two times n. In this sequence the nth term is 2n.

By listed sequence, it is 5 plus 10 = 15 divided by 5 equals 3. By order of operations, it is 5 + (10/5) = 5 + 2 equals 7.

10 - 4n

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. :)

50 Each term in the sequence is 5 times the previous term.

This sequence can be generalized as: 1+10^-(n+2) where n = 0,1,2,3,.... As n goes to infinity, 10^(-inf) goes to zero. So, the final term in the sequence will be 1.