If in an AP the sum of m terms is equal to n and the sum of n terms is equal to m .then prove that the sum of (m+n) terms is -(m+n)

Q: 3) 3x+1=243

A: The given equation 3x+1=243. We have to find the value of x.

Q: Solve for X. 3 3 -97 = 2X + 3 8 -5 -5 7 -2 1 -1 6 4 X =

A: Use scalar multiplication of matrix and addition of matrix to simplify it.

Q: X-4 22 81 1

A:

Q: Find the product of the real numbers  7/19*12/331*(-38/7)=

A: First we multiply the numerators and the denominators straight away, then we reduce the fraction.…

Q: let A= [2 4]     B= [-3 0]    C= [-1 -2]            [-3 8]         [4 -1]           [3 -4]…

A:

Q: Expand (* + 2)x-2)- (x-2) O a x - 4 O b x -x- 6 x - 2x - 4x+ 8 x -x- 2 x - x O c e

A: The given function is x+2x-2-x-2.

Q: Find all possible values of P in x^2+10x+P=(x-A)(x-B) if P, A and B are all whole numbers

A: To find all possible values of P in x2+10x+P=(x-A)(x-B) if P,A and B are all whole numbers.

Q: 2.)(-6)-(5(1-3)-6)-4+9)

A: The given equation is as  (-6)-(5((-3)-6)-(-4)+9)

Q: 6. Simplify these algebraic expressions. a) 2m + 12n - 3m - Op+ 10p +m – n- 12p b) 5r+ 13t +…

A:

Q: ´5s²–15s-11) -(s+1)(s–2)³. 34-2s 2. i) Find ii) Evaluate (15(s-5)(s+3).

A: The solution is given as

Q: 2p2 – 7p = 14   p = (7 +  \/273)/4                             b.      p = (-2 +  \/14)/7   p =…

A: We have to simplify the expression 2p2-7p=14.

Q: Why is (subtracting two positive numbers that are each less than 1), less than or equal to (1 minus…

A: Since r and s are both between 0 and 1  Then 1-r is positive and also 1+s is positive  Now , take…

Q: 8 105 = 8 8 8+102 +. + %3D (1+r)' (1+r)² (1+r)³ ' (1+r)*

A:

Q: If 2 2 5 A- and B-1 3 3 -2 find (AB)-!.

A: Consider the given matrix as A-1=3213 and B-1=253-2

Q: The number of X₁ + X2 + x3 + x4 + X5 + X6 = 12 is C(12+6-1, 12) = C(17, 12). True non-negative…

A: It is known that the number of non-negative integer solutions to the equation: x1+x2+x3+⋯+xn=k is…

Q: Suppose an = 5an-1+4an-2 – 3an-3 and a4 = 22, аs — 127, and ag = 717. Find a1, a2, and аз. ai = a2 =…

A:

Q: For this problem, you need the total, n, of the sum of all digits in your student ID. For example,…

A: We have n=(2+0+4+6+9+4+3+4)=32. We will find the number of solutions S   to the equation…

Q: (구-1)-(4-V)

A: we have to simplify(7--4)-(-1--16)

Q: Find the product AB if [2 5 A = 3 9. -21 6 4 and B = -1 6. 1 17 8. -3] 7 8. 2

A: We find the product AB  by using matrix product.

Q: (n3+n2logn234n)(2n+n12345)+(567logn10345n+19n)(n3+230)

A:

Q: 6. (3x-4y)4

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.