Kuulchat - Senior High School (S.H.S) Mathematics Pattern of Sequences Practice Test Questions

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PATTERN OF SEQUENCES

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1.

Find the 5^th term of the sequence 2, 5, 10, 17....?

A.

22

B.

24

C.

36

D.

26

2.

The last term of the sequence: 7, 11, 15, ... is 115. Find the number of terms in the sequence.

A.

28

B.

29

C.

27

D.

26

Nth term of a linear sequence

U_n = U₁ + (n-1)d

Where n is the number of terms

U_n is the nth term

U₁ is the first term

d is the common difference

d is obtained by subtracting preceding term from succeeding term

Note: a sequence is linear when the intervals (common difference) between the numbers are the same.

Common difference (d) = 11 - 7 = 15 - 11 = 4

U_n = 115

U₁ = 7

115 = 7 + (n - 1) x 4

115 = 7 + 4n - 4

115 = 7 - 4 + 4n

115 = 3 + 4n

115 - 3 = 4n

112 = 4n

Divide both sides by 4

n = $\frac{112}{4}$

n = 28

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PATTERN OF SEQUENCES

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