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4 years ago

Find the 7th term in the

Mathematics

1 answer:

vlada-n [284]4 years ago

7 0

Answer:

Step-by-step explanation:

Given sequence is -5, -1, -5, -25,..

In any arithmetic series nth term is given by a + (n-1)d

where a is the first term

and d is the common difference.

d = nth term - (n-1)th term

For the given series

a = -5

lets take nth term as 2nd term and 1st term as (n-1)th term

d = -1-(-5)= -1+5 = 84

n th term = a + (n-1)d

using the formula for nth term

4th term = 5 + (4-1)8 = 29

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the sum of 2 numbers is 56.twice the smaller number exceeds one-half the larger number by 22.find the numbers

Alexxandr [17]

Answer:

the numbers are 18 and 38

Step-by-step explanation:

x =smaller integer and y =larger integer

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3 years ago

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Marcus borrowed 9000 from his bank to buy a car. The bank charged him a simple interest rate of 1.25%. By the time he paid back

snow_lady [41]

Answer:

2.5 years

Step-by-step explanation:

Given data

P=9000

r= 1.25%

A= 9281.25

The simple interest expression is given as

A=P(1+rt)

substitute

9281.25= 9000(1+0.0125*t)

9281.25=9000+112.5t

collect like terms

9281.25-9000=112.5t

281.25= 112.5t

t= 281.25/112.5

t= 2.5

Hence the time is 2.5 years

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3 years ago

10. If ABCD is a kite, DB=48 in. and CE=7 in. find DC. *

Dmitry_Shevchenko [17]

Answer:

25 in.

Step-by-step explanation:

DEC is a right triangle. <DEC is a right angle.

(DE)² + (EC)² = (DC)²

DE = ½DB = ½(48 in.) = 24 in.

(24 in.)² + (7 in.)² = (DC)²

576 in.² + 49 in.² = (DC)²

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DC = 25 in.

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3 years ago

Find x: 1) 2x= 1/8 2)3x multiplied by 9= 81

Rainbow [258]

$= 2x = \frac{1}{8 } \\ = x = \frac{1}{2 \times 8} \\ = x = \frac{1}{16}$ $3x \times 9 = 81 \\ 3x = \frac{81}{9} \\ x = \frac{9}{3} \\ x = 3$

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4 years ago

What is the value of log subscript 6 baseline startfraction 1 over 36 endfraction? –6 –2 2 6

EleoNora [17]

The value of log subscript 6 baseline start fraction 1 over 36 end fraction is -2.

Let x is the unknown value

We have to determine the value of x

$Log_6 ( 1/36) = x....Given$

<h3>What is the meaning of logarithmic function?</h3>

Logarithmic functions are the inverses of exponential functions, and an exponential function can be expressed in logarithmic form.

$( 1/36) = 36^{-1} = (6^{2})^{-1} = 6^{-1}$

$Log_6( 1/36) = Log_6 6^{-2} = -2 Log_6 6$

We know that,

$log_aa=1$

Therefore by applying the above rule of log we have

$Log_6 6 = 1$

Therefore we get

$-2 Log_6 6 = -2(1) = -2$

Therefore option 2 is correct.

To learn more about the logarithmic expression visit:

brainly.com/question/1832186

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2 years ago

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