Number patterns (25 marks)

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Last updated 12:43 AM on 10/14/26
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5 Terms

1
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The 8th term of an arithmetic sequence is 31 and the sum of the first 30 terms is 1830

T1=3

T²=7

T3=11

<p>T1=3</p><p class="has-focus">T²=7</p><p class="has-focus">T3=11</p>
2
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Consider the sequence: -11; 2sin3x ; 15;…

Determine the values of x in the interval [0°;90°] for which the sequence will be arithmetic (4 marks).

I: 30+k.360

II: 30+

<p>I: 30+k.360</p><p class="has-focus">II: 30+</p>
3
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An arithmetic sequence has a 4th term of 2p-4 , a 7th term of -6 and a 12th term of -26. Determine p.

p=5

<p>p=5</p>
4
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The sum of the 4th and 9th term of an arithmetic sequence is 28 and the 8th term is 17.

Determine term 3.

d=2

a=3

Tn= 61

5
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