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True [87]
2 years ago
7

6785∆4 is a 6-digit number with one of its digit represented by ∆. What can be the value of ∆ if 6785∆4 is divisible by 9

Mathematics
1 answer:
Aliun [14]2 years ago
6 0

Answer:

6

Step-by-step explanation:

If the sum of the digits of a number is divisible by 9, then the number is divisible by 9.

So 6+7+8+5+Δ+4 = Δ + 30 has to be divisable by 9, and of course 0≤Δ≤9

36 is divisable by 9, so Δ has to be 6.

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Determine whether the geometric series 27 + 18 + 12 + 8 + ... converges or diverges, and identify the sum if it exists.
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The given geometric series as shown in the question is seen to; Be converging with its' sum as 81

<h3>How to identify a converging or diverging series?</h3>

We are given the geometric series;

27 + 18 + 12 + 8 + ...

Now, we see that;

First term; a₀ = 27

Second Term; a₁ = 2(27/3)

Third term; a₂ = 2²(27/3²)

Fourth term; a₃ = 2³(27/3³)

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The sum of an infinite converging series is:

S_n = a/(1 - r)

S_n = 27/(1 - (2/3)

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Read more about converging or diverging series at; brainly.com/question/15415793

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