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Art [367]
3 years ago
7

In the arithmetic sequence {13, 6,-1,-8,...}, what is the common difference?

Mathematics
1 answer:
pav-90 [236]3 years ago
7 0

════════ ∘◦❁◦∘ ════════

<h3>Answer = -7</h3>

════════════════════

<h3>Known</h3>

a = 13

U2 = 6

U3 = -1

U4 = -8

════════════════════

<h3>Question</h3>

d = ..?

════════════════════

<h3>Way to do </h3>

#since it gives a lot of number, i will just pick one of the nth term, ill choose U2

Un = a + (n-1)d

U2 = 13 + (2-1)d

6 = 13 + d

6 - 13 = d

d = -7

════════════════════

<h3>Note</h3>

• The formula of arithmetic sequence

<h2>Un = a + (n-1)d</h2>

n = nth term

a = first term

d = common difference

════════════════════

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