Table of Contents
What is the next term of an arithmetic sequence 3 12/21 30?
30 . As 3, 12,21. Are multiples of 3 and the sum of those individual numbers are also 3.so the next multiple of 3 on which adding sum of that digits is 30.so the answer is 30. Ans is a 30,39,48.
How do you find the next number in an arithmetic sequence?
First, find the common difference for the sequence. Subtract the first term from the second term. Subtract the second term from the third term. To find the next value, add to the last given number.
What is the sum of the first five terms of the geometric sequence 3 6 12 24?
What is the sum of the first 5 terms? SOLUTION: To find the sum of the first five terms of the sequence, S_5=3+6+12+24+48=93 Or find the sum using: S_n=frac a_11-rn1-r,rneq 1 Since a_1=3,r=2 ,and n=5 , then the sum is S_5=frac 31-i51-i=frac 3-31-1=93.
How do you find the second term of a series?
Second term is sum of two numbers, and so on. A simple solution is to add the first n natural numbers. Time Complexity of this solution is O (n). The pattern in this series is nth term is equal to sum of (n-1)th term and n.
What is the next number in the sequence 1 2 3 4?
Step by step solution of the sequence is Series are based on square of a number 1 = 12, 4 = 22, 9 = 32, 16 = 42, 25 = 52 ∴ The next number for given series 1, 2, 3, 4, 5 is 6 ∴ Next possible number is 62 = 36
How do you find the right answer in number series?
You can find the right answer in number series by taking the difference between consecutive pairs of numbers, which form a logical series. In this example, the differences between succeeding pairs of numbers are 1,2, 4, 8, 16, and 32.
How do you find the sum of the first n terms?
To find the sum of the first n terms of an arithmetic series use the formula, n terms of an arithmetic sequence use the formula, S n = n (a 1 + a n) 2, where n is the number of terms, a 1 is the first term and a n is the last term. The series 3 + 6 + 9 + 12 + ⋯ + 30 can be expressed as sigma notation ∑ n = 1 10 3 n.