2 years ago

Lets simplify

Mathematics

1 answer:

Artist 52 [7]2 years ago

3 0

Answer:

wait for another one

I am doing.

You might be interested in

In an arithmetic sequence, the nth term an is given by the formula an=a1+(n−1)d, where a1 is the first term and d is the commo

PilotLPTM [1.2K]

Answer:

105th term of given series is

$a_n=\dfrac{105}{2}$

Step-by-step explanation:

Given series is

$\dfrac{1}{2},\ 1,\ \dfrac{3}{2},\ 2,\ \dfrac{5}{2}.....$

As we can see,

$\textrm{First term},a_1=\dfrac{1}{2}$

Also,

$1-\dfrac{1}{2}=\dfrac{3}{2}-1=2-\dfrac{3}{3}=.....=\dfrac{1}{2}$

hence, we can say given series is in arithmetic progression,

with common difference,

$d=\ \dfrac{1}{2}$

As given in question the nth term in A.P is given by

$a_n=a_1+(n-1)d$

since we have to find the 105th term, so we can write

$a_{105}=\dfrac{1}{2}+(105-1)\dfrac{1}{2}$

$=\dfrac{1}{2}+\dfrac{104}{2}$

$=\dfrac{105}{2}$

Hence, the 105th term of given series of A.P is $\dfrac{105}{2}$ .

7 0

3 years ago

Solve for p if 2|p| = 4

ehidna [41]

2p = 4
p = 2

-2p = 4
p = -2

answer p = -2 and p =2

3 0

3 years ago

Read 2 more answers

What is the diameter of a sphere? A.Twice the radius of the sphere B.The distance between two spheres C.The distance from the ce

dolphi86 [110]

Twice the raidus. okay, Im sure that how you spell Radius but anyway, Hope this helps.

3 0

2 years ago

If g(x)=3/4x+2,find g(-12)

Triss [41]

Answer:

g(-12) = -7

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

For questions 1 and 2, use factoring to find the x-intercepts of these quadratic equations.

Marysya12 [62]

1.x^2 +6x - 4 = 6x
X^2 + 6x -4 - 6x = 0
X^2 - 4 = 0
By difference of two squares :
X^2 - 4 = 0 can be written as (x-2) (x+2) = 0
(X-2)=0 therefore x= 2

(X+2)=0 therefore x= -2

2. X^2 - 8x = -6x
X^2 -8x + 6x = 0
X^2 - 2x = 0
X(X-2) = 0
X= 0, X= 2

6 0

2 years ago