All categories

3 years ago

2. The 7th term of an A.P is 27 and the 12th term is 47, what is the sequence?

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

8 0

Answer:

Step-by-step explanation:

let r be the common differenc of the sequence

Term 12 - Term 7 = (12 - 7)r

then

47 - 27 = 5r

then

20 = 5r

then

r = 4

term 7 = term 1 + (7 - 1)r

then

27 = term 1 + 6r = term 1 + 24

then

Term1 = 27 - 24 = 3

<em><u>therefore </u></em>

the standard explicit formula of the sequence is :

term 1 + (n - 1)r = 3 + 4(n - 1)

You might be interested in

Solve the equation. 5x + 8 − 3x = −10 x = −9 x = −1 x = 1 x = 9

vitfil [10]

Answer:

$x=-9$

Step-by-step explanation:

$5x+8-3x=-10$

Simplify to get $2x+8=-10$

Find what $2x$ equals to by taking away 8, $2x = -18$ .

Divide by 2 to find x, $x = -9$

3 0

3 years ago

Read 2 more answers

F(x)3x+5/x what is f(a+2)

Natalija [7]

F(X) = (3x + 5)/X
F(a + 2) = (3(a + 2) + 5)/(a + 2)
F(a + 2) = (3a + 6 + 5)/(a+2)
F(a + 2) = (3a + 11)/(a + 2).

This would be the final solution.

4 0

3 years ago

Read 2 more answers

if n is a positive integer, for what values of n is the function f(x) =x to the power of n a) even b) odd

Otrada [13]

$f(x)=x^n;\ n\in\mathbb{Z^+}\\\\
function\ is\ even\ when\ f(-x)=f(x)\\\\function\ is\ odd\ when\ f(-x)=-f(x)\\\\a)\ f(x)\ is\ even\ when\ n\ is\ even:f(-x)=(-x)^n=x^n=f(x)\\\\b)\ f(x)\ is\ odd\ when\ n\ is\ odd:f(-x)=(-x)^n=-x^n=-f(x)$

5 0

3 years ago

Read 2 more answers

A repairman charged $93.06. The price included 2 hours of labor and a $40 service charge.

NISA [10]

Answer:

$26.53

Step-by-step explanation:

93.06-40=53.06

53.06÷2=26.53

<h2><u><em>Could I please have Brainliest?</em></u></h2>

5 0

2 years ago

Read 2 more answers

Aisle 2 of a furniture store stocks 4-legged chairs, 4-legged tables, and 3-legged stools. If there are t tables, c chairs, and

aev [14]

Answer:

$T=4c+4t+3s$

Step-by-step explanation:

Stocks contains:

4-legged chairs

4-legged tables

3-legged stools

So, 1 chair has legs = 4

So, c chairs has legs = 4c

1 table has legs = 4

So, t tables has legs = 4t

1 stool has legs = 3

So, s stools has legs = 3s

Let T denotes the total no. of legs

So, the total number of furniture legs in aisle 2 :

$T=4c+4t+3s$

Hence $T=4c+4t+3s$ expression show the total number of furniture legs in aisle 2

7 0

3 years ago