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the answer is 56,064

Let us add 1 in the beginning for the series. We will subtract 1 from the sum of (N+1) terms to get the answer.

Terms are : 1, 3, 7, 13, 21, 31, 43, 57, ..

Differences between terms are : d_n = 2, 4, 6, 8, 12, 14 Sum of this series for n terms = 2 * n(n+1)/2 = n² + n

So the series is : T1 = 1 T_n+1 = T1 + n² + n , for n >= 1

Rewrite it: T_n+1 = 1 + n + n² = (n+1)² - (n+1) + 1 => T_n = n² - n + 1 for n>= 1

So sum of the series for (n+1) terms is now: = Σ n² - Σ n + Σ 1 = (n+1) (n+2) (2 n + 3) / 6 - (n+1) (n+2)/2 + (n+1) = (n +1) / 6) [ 2 n² + 7n + 6 - 3 n - 6 + 6 ] = (n+1) (n² + 2 n + 3) / 3 = (n³ + 3 n² + 5 n + 3) / 3

Sum of the given series for n terms is now : (subtract 1) = (n³ + 3 n² + 5 n + 3 ) / 3 - 1 = (n³ + 3 n² + 5 n) / 3

mid point of (2,7) and (-4,1) is (-2,4)now its parallel to 2x+5y=7so 2(-2)+5(4)=-4+20=16so equation is 2x+5y-16=0

wrong answer

pls post clear image

equation will be (y-y1)=m(x-x1)(y-5)=m(X+3)

thanks

non-uniform motion because it covers unequal distance in equal time

Since, the circle cuts intercepts of a and b on the x – axis and y – axis respectively, therefore, the line joining the points (a, 0) and (0, b) will be the diameter of the circle.

Let the co-ordinates of the centre of the circle behandkrespectively.

Therefore,h= (a+ 0)/2 andk= (b+ 0)/2

Let the radius of the circle ber

Therefore,r^2= (0.5a–a)^2

+ (0.5b– 0)^2

Equation of the circle is as follows:

(x–h)^2+ (y–k)^2=r^2

Equation:x^2+y^2–ax–by= 0hence here a=3 and b=4x^2+y^2-3x-4y=0

The answer may be 1: 9 because the area of two similar triangles is equal to ratio of sum of square of there corresponding side

thanks

Construct a line through B parallel to AC. Angle DBA is equal to CAB because they are a pair ofalternateinterior angle. The same reasoning goes with thealternateinterior angles EBC and ACB.

the point at which coordinate axes meet is called origin

But there is no mention if you can use sign within the braces or not. So..

(11–1)+(13–3)+(15–5)

=10+10+10

=30.

I guess that's the only possible answer.

Using reminder theorm

the reminder of p(x) , when divided by x-2 ( when x=2)

p(2) = 2*(2)⁴-3(2)³+2(2)²+2(2)-1 = 32-24+8+4-1 = 19

and similarly q(1) = 3-2+1-1 = 1

so, twice the sum is = 2(19+1) = 40

angle b = 180-123 = 57

so angle a = 123 and angle c = 57

can't understanding plz explain

tq

(2) 18: 25is a correct answer

it is. 18:25.

a. : b. : c42. : 55. : (55)(33) : 33. : 35--------------------------1386 : 1815. : 1925

a : b : c42 : 55 : (55)(33) : 33 : 35---------------------------1386 : 1815 : 1925---------------------------now, a : c1386 / 1925= 18/25than 18:25 option 2 is right answer

From monuments we get information of ancient architecture and knowledge about the ancient culture.

CP of a motor cycle =₹45000Paid for its cartage =₹200Total CP of a motor cycle =₹45200Profit%=10%

therefore, Profit=P%/100×CP=10/100×45200=10×452=4520

42/4 = 21×2/2×2 = 21/2 189/18 = 21×9/2×9 = 21/2 so both are same.

It is a parabola as quadratic equation has 2 rootshence it cuts graph at 2 points hence a parabola

(c) parabola. A graph of 2nd degree polynomial is curve that is known as parabola

ans this qes plz

it will be 2x+1

Let pocket money be = xX -3/4x is amount remaining with him after spending money. X -3/4x= x/4 (on solving) now he gave 4/5of remaining amount to his sister. = x/4 - 4/5 of x/4= x/4 - x/5= x/20amount remaining with him is =40x/20=40x=800

his pocket money is 800

1

2

Let number be x4x+35+11=6x46=6x-4x46=2xx=23

tnx

8.94427 is the square root of 80 then it is estimated then we get 9.

8.94427 is the square root of 80 then it is estimated then we get 9.

3x+2x=(3+2)xadd 3 and 2=5x

what is the question

what is the question

15,21,28 are the no. of dots needed to make the next three triangles.

The required no. of dots is 20

15,21,28 are the no. of dots needed to make the next three triangle