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S is a geometric sequence. a) Given that (√x - 1), 1, and (√x + 1) are the first three terms of S, find the value of x. b) Show that the 5th term of S is 7 + 5√2

a) We can get the result by calculating the common ratio between elements 1 and 2, and 2 and 3. Rn = 1/√x-1 /Ratio between 1st and 2nd Rn = √x + 1 /Ratio between 2nd...

Answered by Marek D. Maths tutor
10253 Views

5(7x + 8) + 3(2x + b) ≡ ax + 13 Find the values of a and b

35x + 6x + 3b ≡ ax + 13 41x + 3b ≡ ax + 13 when x=0 3b + 40 = 13 3b= -27 b=-9 so 41x - 27 + 40 ≡ ax + 13 when x = 1 41-27 + 40 = a + 13a = 41

Answered by Taylor M. Maths tutor
5541 Views

Solve the simultaneous equations. 5x+y=21, x-3y=9.

We commonly solve this via the method of substitution. We label each equation i and ii. We then solve the first equation i for a single variable. We then substitute this value into the secod equation, and...

Answered by Sam W. Maths tutor
2216 Views

Line A passes through point Q(2,3). Line B is parallel to line A and has the equation 2y-3x=4. What is the equation of line A?

If two lines are parallel they have the same gradient so we must find the gradient of line B and use it to find line ALine B ==> 2y - 3x + 4 = 0This can be rearranged in to the form "y = mx + c&qu...

Answered by sameer v. Maths tutor
1873 Views

Factorise x^2 + 2x – 15

What helps to factorise quadratic equations is to remember the rule that the number without a coefficient must be multiplied into. Since this is negative above, it means one of the factor terms must be ne...

Answered by Ali M. Maths tutor
2596 Views

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