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uranmaximum [27]
3 years ago
14

Find a formula for the nth term

Mathematics
1 answer:
Airida [17]3 years ago
7 0

Answer:

a_{n} = - 1.3n - 2.4

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference, thus

a_{n} = - 3.7 - 1.3(n - 1) = - 3.7 - 1.3n + 1.3 = - 1.3n - 2.4

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Which expression represents the value of the series below?<br> 3+ 7 + 11 + 15 + ... + 1,671
torisob [31]

Answer:

Step-by-step explanation:

This is an Arithmetic Series with common difference 4 and first term 3

so the nth term an = 3 + (n -1)4

= 4n - 1.

The sum of n terms

= n/2 (a1 + L)

= n/2(3 + 1671)

=  837n.

There are (1671-3) / 4 + 1 = 418 terms in the series,

so the total value of the series is 837*418

= 349,866.

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4 0
2 years ago
Solve in attachment....​
olga2289 [7]

Answer:

A)2

Step-by-step explanation:

we would like to integrate the following definite Integral:

\displaystyle  \int_{0} ^{1} 5x \sqrt{x} dx

use constant integration rule which yields:

\displaystyle  5\int_{0} ^{1} x \sqrt{x} dx

notice that we can rewrite √x using Law of exponent therefore we obtain:

\displaystyle  5\int_{0} ^{1} x \cdot  {x}^{1/2} dx

once again use law of exponent which yields:

\displaystyle  5\int_{0} ^{1}  {x}^{ \frac{3}{2} } dx

use exponent integration rule which yields;

\displaystyle  5 \left( \frac{{x}^{ \frac{3}{2}  + 1  } }{ \frac{3}{2}  + 1} \right)  \bigg|  _{0} ^{1}

simplify which yields:

\displaystyle  2 {x}^{2}  \sqrt{x}   \bigg|  _{0} ^{1}

recall fundamental theorem:

\displaystyle  2 (  {1}^{2}) (\sqrt{1}  ) - 2( {0}^{2} )( \sqrt{0)}

simplify:

\displaystyle  2

hence

our answer is A

8 0
3 years ago
Read 2 more answers
Jada has a new puppy that weighs 9 pounds. The vet says that the puppy is now about 20% of its adult weight. What will be the ad
Mamont248 [21]

Answer:29.7

Step-by-step explanation:

30/100

9 x 3/10

90/1 x 10/3 = 90

90 divided by 30 is 30

4 0
3 years ago
Solve the following exponent:<br><br> 70
Alika [10]

Answer  70 = 7070

Step-by-step explanation: denotes how many times to multiply the base (70)

7 0
2 years ago
What is the corresponding value at the given point?
uranmaximum [27]
<span>What is the corresponding value at the given point?
x = -15
</span> 
C. 7=-2
6 0
3 years ago
Read 2 more answers
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