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2 years ago

Find the sum of the first 48 terms of the following series, to the nearest integer.

Mathematics

2 answers:

Usimov [2.4K]2 years ago

5 0

Step-by-step explanation:

∑k=150(3k+2)

First find a1 and a50 :

a1=3(1)+2=5a20=3(50)+2=152

Then find the sum:

Sk=k(a1 + ak)2S50=50(5 + 152)2=3925

Paladinen [302]2 years ago

5 0

Answer:

3672

Step-by-step explanation:

Delta math

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Romashka-Z-Leto [24]

Answer:

$(9x-5)\ units$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The perimeter of a triangle is the sum of the length of their three sides

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where

a,b,c are the length sides of the triangle

In this problem we have

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substitute and solve for the missing length

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2 years ago

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Rufina [12.5K]

Answer:

d. Anthony rode 14 more miles per week than Malique.

Step-by-step explanation:

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2 years ago

Sin(60-theta)sin(60+theta)

ehidna [41]

Step-by-step explanation:

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therefore:

$= \{ {( \frac{ \sqrt{3} }{2}) }^{2} { \cos }^{2} \theta \} - \{ {( \frac{ \sqrt{3} }{2} )}^{2} { \sin }^{2} \theta \} \\ \\ = \frac{3}{4} { \cos }^{2} \theta - \frac{3}{4} { \sin}^{2} \theta$

factorise out ¾ :

$= \frac{3}{4} ( { \cos }^{2} \theta - { \sin}^{2} \theta) \\ \\ = { \boxed{ \frac{3}{4} \cos(2 \theta) }}$

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Answer:

Step-by-step explanation:

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