Question

Following this pattern, type a number to show how many bags of wheat there will be on the sixth square.

Answer 1

The number of bags of wheat that will be on the sixth square is 32wheats

The amount of wheat in each square are expressed in geometric sequence as shown.

1, 2, 4, 8, 16,....

Geometric sequence is a sequence where the ratio of the succeeding and the preceding term is equal to a common ratio.

The nth term is expressed as

Tn = ar^{n-1}

a is the first term

r is the common quantity

n is the number of terms

a = 1

n = 6 (sixth square)

r = 4/2 = 2/1 = 2

Substitute the given values into the formula

T6 = 1(2)^{6-1}

T6 = 2^5

T6 = 32

Hence the number of bags of wheat that will be on the sixth square is 32wheats

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