4 years ago

Find the sum of the whole numbers from 1 to 960

Mathematics

1 answer:

agasfer [191]4 years ago

4 0

Step-by-step explanation:

A quick way to do this sort of question:

First add the last number and the first number:

1 + 960 = 961

Then divide the total amount of numbers by 2.

960 ÷2 = 480

Now multiply these two numbers together:

961 × 480 = 461280

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If the sixth term in a geometric sequence is 1/625, and the common ratio is 15, find the explicit formula of the sequence.

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Answer:

The explicit formula of the sequence is $a_n=5(\frac{1}{5})^{n-1}$ for $n \geq 2$

Step-by-step explanation:

Sixth term in a geometric sequence = $\frac{1}{625}$

Common ratio = $\frac{1}{5}$

Formula of nth term = $a_n=ar^{n-1}$

Substitute the values

So, $\frac{1}{625}=a(\frac{1}{5})^{6-1}\\\frac{1}{625}=a(\frac{1}{5})^{5}\\\frac{1}{625} \times 5^5=a$

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