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3 years ago

Evaluate the geometric series. I need help please!!

Mathematics

1 answer:

aliya0001 [1]3 years ago

5 0

Answer:

4092

Step-by-step explanation:

The n th term of a geometric series is

$a_{n}$ = a $(r)^{n-1}$

where a is the first term and r the common ratio

4 $(2)^{n-1}$ ← is the n th term

with a = 4 and r = 2

The sum to n terms of an arithmetic series is

$S_{n}$ = $\frac{a(r^n-1)}{r-1}$ , thus

$S_{10}$ = $\frac{4(2^{10}-1) }{2-1}$

= 4(1024 - 1) = 4 × 1023 = 4092

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Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity. In the given triangle ABC, angle A

lana66690 [7]

The relationship between the lengths of the sides of a right triangle are

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Part A: ΔABC is similar to ΔADC

Part B: ΔABC and ΔADC are similar according AA similarity postulate

Part C: DA = 6

Reasons:

Part A:

∠A = 90°

Segment AD ⊥ Segment BC

Location of point D = Side BC

Part A: In triangle ΔABC, we have;

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In triangle ΔADC, we have;

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$\overline{DA}$ = √(36) = 6

$\overline{DA}$ = 6

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Answer:

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3 years ago