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3 years ago

Nd the 52nd term and the term named in the problem 40, 140, 240, 340, ...Find a 32

Mathematics

1 answer:

Galina-37 [17]3 years ago

5 0

Answer:

5140 and 3140

Step-by-step explanation:

Note there is a common difference d between consecutive terms in the sequence, that is

d = 140 - 40 = 240 - 140 = 340 - 240 = 100

This indicates the sequence is arithmetic with n th term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 40 and d = 100, thus

$a_{52}$ = 40 + (51 × 100) = 40 + 5100 = 5140

$a_{32}$ = 40 + (31 × 100) = 40 + 3100 = 3140

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Dhani has 4 cards numbered 1 through 4. He removes 2 cards at random and adds their values.

DanielleElmas [232]

Answer:

$2/3$

Step-by-step explanation:

The total number of sums (not distinct) is $4\cdot 3=12$ , because we're removing without replacement.

Count the sums that fit the stipulation (sum $\leq$ 5):

$1,2,\\2,1\\1,3\\3,1\\1, 4\\4, 1\\2, 3, \\3,2$

There are 8 sums that work. Therefore, the desired answer is $\frac{8}{12}=\boxed{\frac{2}{3}}$

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2 years ago

Aya = a1 + (n - 1)d

Alenkasestr [34]

Answer:

The 26th term of an arithmetic sequence is:

$a_{26}=67$

Hence, option A is true.

Step-by-step explanation:

Given

a₁ = -33

d = 4

An arithmetic sequence has a constant difference 'd' and is defined by

$a_n=a_1+\left(n-1\right)d$

substituting a₁ = -33 and d = 4 in the nth term of the sequence

$a_n=-33+\left(n-1\right)4$

$\:a_n=-33+4n-4$

$a_n=4n-37$

Thus, the nth term of the sequence is:

$a_n=4n-37$

now substituting n = 26 in the nth term to determine the 26th term of the sequence

$a_n=4n-37$

$a_{26}=4\left(26\right)-37$

$a_{26}=104-37$

$a_{26}=67$

Therefore, the 26th term of an arithmetic sequence is:

$a_{26}=67$

Hence, option A is true.

7 0

2 years ago

Explain how rays AB and AC form both a line and an angle.

GuDViN [60]

A straight line (180o) is still an angle. Would you be wondering if the question said "Can 179o be a real angle?" No you would simply draw it. 1 degree more and you have 180o and it is an angle as well.

So you have a line that is both a line and an angle with A in the middle.

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2 years ago

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loris [4]

Answer:

2c exponent 4 d exponent 4

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2 years ago

What is the apparent solution to the system of equations?

Radda [10]

Y= 12 - 2x-2x-2x-2x so it will be Ben Ben this d in your mouth ah ah 12=2x

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2 years ago

Nd the 52nd term and the term named in the problem 40, 140, 240, 340, ...Find a 32​

Nd the 52nd term and the term named in the problem 40, 140, 240, 340, ...Find a 32