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Nimfa-mama [501]
3 years ago
11

Write the first four terms of the sequence defined by An=20-30(n-1)

Mathematics
1 answer:
monitta3 years ago
3 0

The first four terms of sequence is 20, -10, -40, -70

<em><u>Solution:</u></em>

Given that we have to find the first four terms of sequence

<em><u>Given recursive formula is:</u></em>

a_n = 20 - 30(n-1)

<em><u>To find the first term, substitute n = 1</u></em>

a_1 = 20-30(1-1)\\\\a_1 = 20-30(0)\\\\a_1 = 20

Thus the first term of sequence is 20

<em><u>To find the second term, substitute n = 2</u></em>

a_2 = 20-30(2-1)\\\\a_2 = 20-30(1)\\\\a_2 = 20-30\\\\a_2 = -10

Thus the second term of sequence is -10

<em><u>To find the third term, substitute n = 3</u></em>

a_3 = 20-30(3-1)\\\\a_3 = 20-30(2)\\\\a_3 = 20-60\\\\a_3 = -40

Thus the third term of sequence is -40

<em><u>To find the fourth term, substitute n = 4</u></em>

a_4 = 20-30(4-1)\\\\a_4 = 20-30(3)\\\\a_4 = 20-90\\\\a_4 = -70

Thus the first four terms of sequence is 20, -10, -40, -70

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<h3>How to simplify the expression?</h3>

The mathematical expression is given as:

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