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The fifth term of an arithmetic sequence is equal to 6 and the sum of the first 12 terms is 45. Find the first term and the common difference.

Arithmatic term n, Un= U1+(n-1)d. Where U1 is the first term of the sequence and d is the common difference. U5=U1+4d=6. U1=6-4d. Sum of arithmatic terms up to term n, Sn=n/2(2U1+(n-1)d). S12=12/2(2(6-4d)...

JS
Answered by Jasmin S. • Maths tutor
8737 Views

Integrate 2x^5 + 7x^3 - (3/x^2)

Integrating xn gives you xn+1/(n+1).Integral of 2x5 is 2x6/6 = x6/3. The integral of 7x3 is 7x4/4.-(3/x2) can be rew...

AP
Answered by Alexander P. • Maths tutor
3934 Views

A scalene triangle has 3 angles ABC in degrees, where A = (3x + 7), B = (4x + 5), C = (x + 8). Find the value of largest angle.

Equate all the angles to 180 degrees.3x+7+4x+5+x+8=1808x+20=1808x=160Therefore, x=20.Hence, A=3(20)+7=67B=4(20)+5=85C=20+8=28

AP
Answered by Alexander P. • Maths tutor
3137 Views

25= x2 + 10 - 6. Find X

first take the 6 to the other side. 31 = x2 + 10Then take the 10 to the other side by taking it away from 3121= x2square root 21 inorder to find xx= 4.58

AN
Answered by Akhil N. • Maths tutor
2813 Views

Differentiate y = 5x^3 + 7x + 3 with respect to x

When differentiating with respect to x, we multiply the coefficient of the 'x' by the power of the 'x', and subtract one from the power of 'x'. For example:y = 5x^5dy/dx = (55)x^(5-1) = 25x^4If the po...

JK
Answered by Jordan K. • Maths tutor
3787 Views

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