All categories

3 years ago

Find a 101 of the sequence 5, 8, 11, .... A. 302 B. 311 C. 305 D. 308

Mathematics

1 answer:

Dimas [21]3 years ago

5 0

Answer:

305

Step-by-step explanation:

We are adding 3 each time

5+3 = 8

8+3 = 11

The formula for an arithmetic sequence is

an = a1+d(n-1) where a1 is the first term and d is the common difference

an = 5+3(n-1)

We want the 101 term

a101 = 5 +3(101-1)

= 5+3(100)

= 5+300

= 305

You might be interested in

4 x tiles and 3 negative tiles = 5 x tiles and 4 positive tiles. Examine the algebra tiles. Which equation is being modeled? 4x

Andru [333]

Answer:

4x + (–3) = 5x + 4

Step-by-step explanation:

i got it right on edge. :)

9 0

3 years ago

Read 2 more answers

Square root 25a^2. help me pls its a emergency

Vadim26 [7]

5a is ur answer!!!!!

4 0

3 years ago

a line intersects the point (12,3) and has a slope of 4. what are the inputs to the point slope formula

astraxan [27]

Hey There,

The equation would be y = 4x - 45

Point slope formula

(y-y1)=m(x-x1)

Plug in the numbers

(y-3)=4(x-12)

Solve for y.

4 * x = 4x

4 * -12 = -48

Bring 3 to the other side (change the sign)

-48 +3 = 45

Therefore, the equation would be y = 4x - 45

4 0

3 years ago

Select all of the potential solution(s) of the equation 2log5x = log54.

Vanyuwa [196]

Answer:

x = ±2

Step-by-step explanation:

A equation is given to us , which is ,

$\longrightarrow 2log_5(x) = log_5 4$

From properties of logarithm we know that ,

$\longrightarrow alog\ m = log \ m^a$

Applying this to LHS , we have ;

$\longrightarrow log_5 x^2 = log_5 4$

Now the bases of logarithm on LHS and RHS is same . On comparing , we have ;

$\longrightarrow x^2 = 4$

Put square root on both sides,

$\longrightarrow x =\sqrt{4}$

Simplify ,

$\longrightarrow \underline{\underline{ x =\pm 2 }}$

This is the required answer.

6 0

2 years ago

PLEASE HELP ASAP!! VERY IMPORTANT!!!!! (NUMBER 15!!)

maria [59]

The answer is c cause the answer is 16,741.55ft^2 and c is the closest to it

5 0

3 years ago