Question 24 plz show ALL STEPS

Mathematics

1 answer:

SpyIntel [72]3 years ago

3 0

9514 1404 393

Answer:

see attached

Step-by-step explanation:

a) The first 5 partial sums are listed in the table in the attachment.

b) Sigma notation makes use of the general term shown:

$\displaystyle\sum_{n=1}^\infty{\frac{3^n+(-2)^n}{6^n}}$

c) The sum appears to be close to 3/4. (For large n, a calculator cannot evaluate the terms of the series--they are too small.) The attachment shows the 100th sum to be rounded to 3/4 (from 12 significant digits).

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measure the lines with small paper clips and then with a centimeter ruler. Line 1, has 3 paper clips = 12 cm with ruler. Line 2,

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Answer:

Its because the paper clips used here are of same length (4cm long).

So the measurements of lines two and three need to be multiples of 4 to me measured accurately with the paper.

i.e Line two needs to be 6cm + 2cm = 8cm (eight is a muliple of 4)

Line three needs to be 9cm + 3cm = 12cm (twelve is a multiple of 4)

Step-by-step explanation:

Since line 1 has 3 paper clips and its 12cm in length, the size of the paper clips is 4cm.

Line 2 is 6cm long and will require two more centimeters to measured accurately by the 4cm-paper clips.

Line 3 is 9cm and will require three more centimeters to be measured accurately by the 4cm-paper clips.

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