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What is the sum of the first 22 odd numbers?
The sum of a sequence is given by sum = n/2(2a + (n-1)d) where: n = how many a = first number of sequence d = difference between terms of sequence. For the first 22 odd numbers these are: n = 22 a = 1 d = 2 → sum = 22/2(2×1 + (22 - 1)×2)) = 22² = 484 The sum of the first n odd numbers is always n²: sum = n/2(2×1 + (n-1)2) = n/2(1 + (n-1))×2 = n(n) = n²
How can you tell if a infinite geometric series has a sum or not?
The geometric series is, itself, a sum of a geometric progression. The sum of an infinite geometric sequence exists if the common ratio has an absolute value which is less than 1, and not if it is 1 or greater.
What is the formula to find sum of n odd numbers?
The set of odd numbers is an arithmetic sequence. Let say that the sequence has n odd numbers where the first term is a1 and the last one is n. The formula to find the sum on nth terms for an arithmetic sequence is: Sn = (n/2)(a1 + an) or Sn = (n/2)[2a1 + (n - 1)d] where d is the common difference that for odd numbers is 2. Sn = (n/2)(2a1 + 2n - 2)
What is the pattern rule for 1-1-2-3-5-8-13-21-34 pattern?
This is the famous fibonacci sequence, where each term in the sequence is the sum of the previous two. Fn=Fn-1 + Fn-2 F0 = 1 and F1 = 1 are the initial values to begin the sequence. F2 = F1 + F0 = 1 + 1 = 2 F3 = F2 + F1 = 2 + 1 = 3 and so on
What is a sequence that is predictable?
A deterministic sequence - as opposed to a stochastic or random sequence.
What is the partial sum of 67 85?
A Partial Sum is a Sum of Part of a Sequence. You must have a sequence to find the partial sum. The regular sum of 67 + 85 is 152.
Is the sum of two geometric sequence a geometric sequence?
No.
What is the sum of the first 64 terms of the binary sequence?
A binary sequence is a sequence of [pseudo-]randomly generated binary digits. There is no definitive sum because the numbers are random. The sum could range from 0 to 64 with a mean sum of 32.
What are the terms of a sequence added together?
The terms of a sequence added together is the sum.
What if the second terms of an arithmetic sequence is 5 find the sum of 1st and 3rd term?
sequence 4 5 6 sum =10 sequecnce 0 5 10 sum=10
How do you get the Fibonacci sequence?
Start with 1 and 2. Then each number in the Fibonacci sequence is the sum of the previous two numbers in the sequence.
What is the sequence for 0112358?
That's the famous Fibonacci sequence, where every term is the sum of the previous two.
Can you find the sum of the terms in an infinite sequence?
yup
What is the sum of all the multiples of seventeen?
They are infinitely many and they form an increasing sequence the sum is infinite.
What is the difference between an arithmetic series and an arithmetic sequence?
An arithmetic sequence is a list of numbers which follow a rule. A series is the sum of a sequence of numbers.
What is the upper bound of the sum of the elements in the Fibonacci sequence?
There is no upper bound to the sum of the numbers in the Fibonacci sequence; both the last number in the series and consequently the sum of all these numbers can be made as large as desired by continuing the series to sufficiently many numbers.
What is this sequence called 112358?
The sequence 112358 is called the Fibonacci sequence. This is a series of numbers where each number after the first two is the sum of the two preceding ones.
