The missing number is 360. The absent number is following a sequence. It appears that 3 time 2 amounts to 6, and 6 time 3 amounts to 18.\\u00a0Following this, 18 multiply to 4 equals 72, climate 72 multiplied to 5 equates to 360.Context: \\u00a0

## SEQUENCEThe numbers detailed are in a sequence. A succession is a team of numbers that space in order. Troubles with number then lacking number usually suggest a sequence. Over there are countless kinds that sequences. The most simple is the arithmetic sequence (beer-selection.com\\/question\\/2807820). The two simple items in a sequence space the terms and also the rule.You are watching: Please enter the missing number 3 6 18 72TERMA ax is a number in a succession or a set. That can likewise be referred to as an element or a member. In the problem, there room 4 offered terms prior to the lacking number -- 3, 6, 18, and also 72.RULEThe dominance of the sequence is the pattern or the formula the helps in knowing the next term or the missing number. It have the right to usually be figured with trial-and-error and logic. Here is an example of exactly how to discover the rule: beer-selection.com\\/question\\/1946187 and beer-selection.com\\/question\\/3226405.Solution: \\u00a0We must find the rule. It mirrors that the product that the term before the present and also the placement of the hatchet (1st, 2nd, and also so on) is the answer. Because that example, 6, the second term, amounts to 3, the hatchet before, multiplied by 2, together it is the 2nd. So, the rule is x\\u2099 = n(x\\u2099\\u208b\\u2081) wherein x\\u2099 method the \\\"nth term\\\". So, 3, being the 1st term, have the right to be created as x\\u2081 = 3.\\nWe need to substitute the variable and solve for the absent number. Us simply adjust the n variable v the actual numbers. Us can try answering the various other terms to inspect if the rule is right.Let us examine if 6 is the second term utilizing the rule. \\u00a0 \\u00a0x\\u2099 = n(x\\u2099\\u208b\\u2081) \\u00a0 \\u00a0x\\u2082 = 2(x\\u2082\\u208b\\u2081) \\u00a0 \\u00a0x\\u2082 = 2(x\\u2081) \\u00a0 \\u00a0x\\u2082 = 2(3) \\u00a0 \\u00a0 \\u00a0x\\u2082 = 6 \\u00a0 \\u00a0So, the missing number or the fifth term will certainly be solved choose this: \\u00a0 \\u00a0x\\u2099 = n(x\\u2099\\u208b\\u2081) \\u00a0 \\u00a0x\\u2085 = 5(x\\u2085\\u208b\\u2081) \\u00a0 \\u00a0x\\u2085 = 5(x\\u2084) \\u00a0 \\u00a0 \\u00a0x\\u2085 = 5(72) \\u00a0 \\u00a0x\\u2085 = 360 \\u00a0 \\u00a0This is why the sequence is 3, 6, 18, 72, 360. The lacking number is 360.#LearnWithbeer-selection.com\"}>\" data-test=\"answer-box-list\"> Answer:The missing number is 360. The missing number is complying with a sequence. It seems that 3 times 2 equates to 6, and 6 time 3 equates to 18. Following this, 18 multiplied to 4 equates to 72, then 72 multiplied to 5 amounts to 360.Context: SEQUENCEThe numbers listed are in a sequence. A sequence is a team of numbers that room in order. Problems with numbers then missing number usually show a sequence. There are plenty of kinds of sequences. The most an easy is the arithmetic sequence (beer-selection.com/question/2807820). The two straightforward items in a sequence room the terms and also the rule.TERM

A term is a number in a succession or a set. That can also be dubbed an element or a member. In the problem, there room 4 offered terms before the lacking number -- 3, 6, 18, and also 72.

### RULE

The ascendancy of the succession is the sample or the formula that helps in discovering the next term or the absent number. It deserve to usually it is in figured v trial-and-error and also logic. Right here is an example of just how to discover the rule: beer-selection.com/question/1946187 and beer-selection.com/question/3226405.

Solution:

We must uncover the rule. It mirrors that the product that the term prior to the present and the location of the ax (1st, 2nd, and also so on) is the answer. For example, 6, the second term, amounts to 3, the term before, multiplied by 2, together it is the 2nd. So, the dominion is xₙ = n(xₙ₋₁) where xₙ means the \"nth term\". So, 3, being the first term, have the right to be written as x₁ = 3.We must substitute the variable and solve for the missing number. Us simply adjust the n variable with the really numbers. Us can try answering the various other terms to examine if the rule is right.

Let us examine if 6 is the 2nd term using the rule.

xₙ = n(xₙ₋₁)

x₂ = 2(x₂₋₁)

x₂ = 2(x₁)

x₂ = 2(3)

x₂ = 6

So, the missing number or the 5th term will be solved like this:

xₙ = n(xₙ₋₁)

x₅ = 5(x₅₋₁)

x₅ = 5(x₄)

x₅ = 5(72)

x₅ = 360

This is why the sequence is 3, 6, 18, 72, 360. The absent number is 360.

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