Question

Sequence of powers of 2​

Answer 1

Step-by-step explanation:

In mathematics, a power of two is a number of the form 2n where n is an integer, that is, the result of exponentiation with number two as the base and integer n as the exponent.

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Answer 2

Sequence of powers of 2

$1, 4, 9, 16,25,36,49,64,81, 100.........sequence$

Given: Power = 2

To Find: Sequence of powers of 2

Solution:

In general, for any rational number (a) and a positive integer (n) we define.

${a}^{n } = a \times a \times a \times a ..........a \: (n \: times)$

• ${a}^{n}$ is called the nth power of (a) and is also read as "a raised to the power n"
• The a is called the base and n is called the power or exponent.

Similarly in ${a}^{2}$ is called 2th power of (a)

Sequence of ${a}^{2}$

Let first base number of sequence be 1.

• ${1}^{2} = 1 \\ {2}^{2} = 4 \\ {3}^{2} = 9 \\ {4}^{2} = 16 \\ {5}^{2} = 25 \\ {6}^{2} = 36 \\ {7}^{2} = 49 \\ {8}^{2} = 64 \\ {9}^{2} = 81 \\ {10}^{2} = 100 \\ .......(sequence \: continue)$

Hence, Sequence of powers of 2 = 1, 4, 9, 16,25,36,49,64,81, 100.........sequence continue

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