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3 years ago

Find the 64th term of the following arithmetic sequence . 12,19,26,33 ...

Mathematics

1 answer:

mr Goodwill [35]3 years ago

4 0

Answer:

sequence 12,19,26,33

1st term = 12

comman difference = 19 - (12) = 7

comman term = a + (n-1)d

a= first term

d= difference

comman term = a + (n-1)d

= 12 + (n-1)(7)

= 12 +7n-7

= 7n +5

1st term --> n =1 = 7.1 + 5 = 12

2nd term --> n =2 = 7.2 + 5 = 14 + 5 = 19

64st term --> n =64 = 7.64+ 5 = 448+5 = 453

Step-by-step explanation:

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Use Gauss's approach to find the following sums (do not use formulas). 1+3+5+7+...999

muminat

$S=1+3+5+\cdots+995+997+999$
$S=999+997+995+\cdots+5+3+1$
$\implies 2S=(1+999)+(3+997)+(5+995)+\cdots+(995+5)+(997+3)+(999+1)$

$2S=\underbrace{1000+1000+\cdots+1000+1000}_{500\text{ times}}$

(We are adding 500 instances of 1000 because that's how many odd numbers there are between 1 and 1000, inclusive.)

$2S=500\times1000=500000$
$\implies S=250000$

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3 years ago

A cheese box is shaped like a

prohojiy [21]

Answer:

yes because it is a triangle it goes into the box that is equal to 1/4 of its size

Step-by-step explanation:

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3 years ago

What is the distance between two points with coordinates at (8, 40) and (20, 5)?

Alchen [17]

Answer:

37 units

Step-by-step explanation:

The two points form a right triangle so

a²+b²=c² so

(8-20)²(x values)+(40-5)²(y values)=c² (distance) so

12²+35²=c² so

144+1225=c²

1369=c²

c=37 units

7 0

2 years ago

20 - k/15 = 17 What is k?

tester [92]

20 - k/15 = 17
20 - 17 = k/15
3 = k/15
k = 45

6 0

3 years ago

Read 2 more answers

If you going to answer one question say it in the comments it's gonna be the waste of time bc the answer is going to be deleted

oksano4ka [1.4K]

I am going to do number 2 so when you subtract decimals you have to add two zeros like this 10.00 or 0.25 so now when you subtract you get $9.75

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3 years ago