Q. Type the missing number in this sequence:1, 4, _, 64, 256
Identify Sequence Type: Identify whether the given sequence is geometric or arithmetic.Looking at the sequence, it seems that each term might be a power of a certain number because 1, 64, and 256 are all powers of 2 (20, 26, and 28 respectively). This suggests that the sequence is geometric.
Find Common Ratio: Identify the common ratio.To find the common ratio, we can use the terms we know. Since 256 is 28 and 64 is 26, we can divide 256 by 64 to find the common ratio.256/64=4Common Ratio: 4
Find Missing Number: Find the missing number.Since the common ratio is 4 and the number before the missing term is 4, we can multiply 4 by the common ratio to find the missing term.4×4=16Missing Number: 16