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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. R n = 1/√x-1 /Ratio between 1st and 2nd R n = √x + 1 /Ratio between 2nd and 3rd 1/√x-1 = √x + 1 /*(x + 1) 1 = (...
MD
Answered by Marek D. • Maths tutor
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Evaluate one reason why trade may be beneficial for an economy (5 marks)

Trade is the international exchange of goods and services. An economy can engage in trade because of the variation of production efficiency between countries, it is able to export goods it produces at a rela...
AM
Answered by Ankit M. • Economics tutor
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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
TM
Answered by Taylor M. • Maths tutor
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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 so...
SW
Answered by Sam W. • Maths tutor
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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"...
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Answered by sameer v. • Maths tutor
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