What number should come next at the end of this series 1 4 9 16?

Hence, the series is the square of natural numbers ⇒12, 22, 32, 42,…… Hence, 25 should come next in the given series.

How do you predict the next number in a sequence?

Correct answer: 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.

How do you find the number of sequences in a sequence?

To find the number of terms in an arithmetic sequence, divide the common difference into the difference between the last and first terms, and then add 1.

How do you solve series and sequence problems?

Important Formulas The formulae for sequence and series are: The nth term of the arithmetic sequence or arithmetic progression (A.P) is given by an = a + (n – 1) d. The arithmetic mean [A.M] between a and b is A.M = [a + b] / 2. The nth term an of the geometric sequence or geometric progression [G.P] is an = a * r.

What is the next term in this sequence 1/4 9?

Informally: When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.” So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.

What is 8th number?

eight
8 (number)

← 7 8 9 →
-1 0 1 2 3 4 5 6 7 8 9 → List of numbers — Integers ← 0 10 20 30 40 50 60 70 80 90 →
Cardinal	eight
Ordinal	8th (eighth)
Numeral system	octal

What is the formula for finding the nth term in a sequence?

Finding the nth Term of an Arithmetic Sequence Given an arithmetic sequence with the first term a1 and the common difference d , the nth (or general) term is given by an=a1+(n−1)d .