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3 years ago

I need help for the second one

Mathematics

1 answer:

dolphi86 [110]3 years ago

6 0

Equation
(3x21)+(3x15)

Answer
$108

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Guys please help me out ASAP, Due today. I

Mice21 [21]

Answer:

$T_7 = 11$

$T_n = 2n- 3$

Step-by-step explanation:

Given

$S_n = n^2 -2n$

$T_n = S_n - S_{n-1}$

Solving (a): T7

Substitute 7 for n in $T_n = S_n - S_{n-1}$

$T_7 = S_7 - S_{7-1}$

$T_7 = S_7 - S_6$

Calculate S7 and S6

$S_n = n^2 -2n$

$S_7 = 7^2 - 2 * 7 = 35$

$S_6 = 6^2 - 2 * 6 = 24$

So:

$T_7 = 35 -24$

$T_7 = 11$

Solving (b): Tn

$T_n = S_n - S_{n-1}$

Where $S_n = n^2 -2n$

Calculate $S_{n-1}$

We have:

$S_{n-1} =(n-1)^2 - 2(n-1)$

Open brackets

$S_{n-1} = n^2 -2n + 1 -2n +2$

$S_{n-1} = n^2 -2n-2n + 1 +2$

$S_{n-1} = n^2 -4n + 3$

So:

$T_n = S_n - S_{n-1}$

$T_n = n^2 - 2n - (n^2 -4n + 3)$

$T_n = n^2 - 2n - n^2 +4n - 3$

Collect Like Terms

$T_n = n^2 - n^2- 2n +4n - 3$

$T_n = 2n- 3$

5 0

3 years ago

-5y + 8 = 3y + 10. Calculate and show work

maksim [4K]

2x+3=[email protected]x=6(2)(6)+3=1515=15

4 0

3 years ago

Read 2 more answers

In the system of equations, r and s are constants. If the system has infinitely many solutions, what is the value of rs?

exis [7]

Answer: B) -48

Step-by-step explanation:

If the system of two linear equations $a_1x+b_1y=c_1\ \&\ a_2+b_2y=c_2$ has infinitely many solutions , then

$\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}=k$

For the given system of linear equations : $rx-sy=26\\4x+3y=13$

We , will have

$\dfrac{r}{4}=\dfrac{-s}{3}=\dfrac{26}{13}=2\\\\\Rightarrow\ r= 4\times2=8\ \ \&\ \ s=2\times-3=-6$

The value of $rs=(8)\times-6=-48$

Hence, the value of rs is -48.

Thus , the correct option is B) -48.

6 0

3 years ago

A man buys 6 ½ of petrol daily. How many litres of petrol does he purchase in six days

nalin [4]

Answer:

39 liters

Step-by-step explanation:

6.5×6=39

so 39 litres

6 0

2 years ago

48/60 as a fraction in its simplest form.

Brut [27]

Step-by-step explanation:

4/5 is the simplified fraction for 48/60.

3 0

3 years ago

Read 2 more answers