Answer:
63
Step-by-step explanation:
Each term in a geometric sequence progresses by multiplying a constant (let us name it <u>r</u>).
Let us<u> solve for this constant</u> r in order to find the 13th term.
If the seventh term is 7, the tenth term would be 7*r*r*r, or . We also happen to know that the 10th term is 21. Let us make a <u>new equation</u>:
or, approx. 1.442249570307408
Using the same logic, the 13th term would be 7*r*r*r*r*r*r, or . We may now <u>substitute</u> what we know, r, into this expression to obtain the 13th term:
Therefore, the 13th term of this progression is 63.
<em>I hope this helps! Please let me know if you have any further questions :)</em>
You would move the decimal point two times to the left for the decimal. 0.076
For the fraction, we would make it 76/1000 because the 6 converted in the decimal is in the thousandth place. We can simplify it and get 19/250.
Answer:
the answers are pi/6 and radius. hence the statement should read as
the length of the arc intercepted by third central angle is <u>pi/</u><u>6</u> times the length of the <u>radius.</u>
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