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3 years ago

Find the a15 of the sequence 7/8, 1 / 2, 1 / 8, -1 / 4

Mathematics

2 answers:

abruzzese [7]3 years ago

7 0

Answer:

The term a15 of the sequence is $a_{15}=-\frac{35}{8}$ .

Step-by-step explanation:

The given sequence is

$\frac{7}{8},\frac{1}{2},\frac{1}{8},\frac{-1}{4}$

It it an arithmetic sequence because the difference between two consecutive terms are same.

The first term of the given AP is

$a=\frac{7}{8}$

The common difference is

$d=\frac{1}{2}-\frac{7}{8}=-\frac{3}{8}$

The nth term of an AP is

$a_n=a+(n-1)d$

where, a is first term and d is common difference.

$a_{15}=\frac{7}{8}+(15-1)(-\frac{3}{8})$

$a_{15}=\frac{7}{8}-(14)(\frac{3}{8})$

$a_{15}=\frac{7}{8}-\frac{21}{4}$

$a_{15}=-\frac{35}{8}$

Therefore the term a15 of the sequence is $a_{15}=-\frac{35}{8}$ .

Dennis_Churaev [7]3 years ago

3 0

Answer:

=-485/1944( Decimal: 0.249486)

Step-by-step explanation:

7/81/21/8-1/4

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3 years ago

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salantis [7]

Answer:

252

Step-by-step explanation:

Split up the shape

First part:

12*12=144

Second part:

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Total:

108+144 = 252

<u>Plz mark brainliest if this was helpful</u>

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3 years ago

Find the quotient of 13 1,690

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3 years ago

P^2=mx/t-t^2x make x the subject

belka [17]

Answer:

$x=\frac{P^2t}{(m-t^3)}$

Step-by-step explanation:

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2 years ago

Imagine an experiment in which one student is selected at random from among all currently enrolled students in this university.

Alex_Xolod [135]

Answer:

$\left \{ x\varepsilon U;x\notin A \right \}$ , $\left \{ x\varepsilon U;x \varepsilon A\cap B \right \}$ , $\left \{ x\varepsilon U;x \notin A, x \varepsilon B \right \}$ , $\left \{ x\varepsilon U;x \notin A, x \notin B \right \}$ , $\left \{ x\varepsilon U;x \varepsilon A \cup B \right \}$ , $\left \{ x\varepsilon U;x \varepsilon (B-A)\cup (A-B) \right \}$

Step-by-step explanation:

Set refers to the well defined collection of objects.

We can express a set in set-builder form or in roaster form.

Roster form is a mathematical representation of a set that lists all of the elements of the set within the curly bracket, separated by commas.

A set-builder notation is a mathematical representation for describing a set that lists all of the elements of the set by stating the properties that its elements must satisfy.

Let A be the event that the selected student is classified as enrolled in engineering (one of the engineering schools), and let B be the event that the same student is currently enrolled in this class.

Let U denotes the set of all students currently enrolled in the university.

1. $\left \{ x\varepsilon U;x\notin A \right \}$

2. $\left \{ x\varepsilon U;x \varepsilon A\cap B \right \}$

3. $\left \{ x\varepsilon U;x \notin A, x \varepsilon B \right \}$

4. $\left \{ x\varepsilon U;x \notin A, x \notin B \right \}$

5. $\left \{ x\varepsilon U;x \varepsilon A \cup B \right \}$

6. $\left \{ x\varepsilon U;x \varepsilon (B-A)\cup (A-B) \right \}$

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3 years ago

Find the a15 of the sequence 7/8, 1 / 2, 1 / 8, -1 / 4​

Find the a15 of the sequence 7/8, 1 / 2, 1 / 8, -1 / 4