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I struggle with the following type of question: "The first four terms of an arithmetic sequence are 5, 9, 13, 17. Write down an expression, in terms of n, for the nth term in the sequence." How should I approach this?

The way I would suggest approaching a question like this is to imagine n=1, n=2, n=3 and n=4 above the terms given, or even to literally write that above each of the 4 given numbers. n ---------- 1 2 3 4r...

Answered by William S. • Maths tutor

10849 Views

Solve: 1/3 x = 1/2 x + (− 4)

(1/3)x=(1/2)x+(-4) (1/3)x=(1/2)x-4(1/3)x - (1/2x) = -4 (1/3)(x/1) - (1/2x)(x/1) = -4. => x/3 - x/2 = -4Find common denominator: here 62x/6 - 3x/6 = -4-x/6 = -4 -x = -24x = 24 Check:

Answered by Iulia B. • Maths tutor

2386 Views

√3(√30 + √8) can be simplified into the follwing format: x√10 + y√6 where are x and y are integers. Find the value of x and y.
Begin by expansion (√a x √b = √ab): √3 x √30 = √90 and √3 x √8 = √24. Therfore we have: √90 + √24. Simplify roots (√a^2√b). The question tells us we need x√10 so therefore √90 = √9√10 (9x10 = 90) and we n...
HD
Answered by Holden D. • Maths tutor
3864 Views

Simplify the following expression fully: 8x + y - 6y − 5x
8x + y - 6y - 5x= 8x - 5x + y - 6y= 3x - 5y

PC
Answered by Patrick C. • Maths tutor
3155 Views

What is the meaning of vector cross product?
A binary operation between two vectors it results in another vector perpendicular to the two input ones meaning it is the normal of the plane containing the two vectors involved in the operation. An advan...
AM
Answered by A M S. • Maths tutor
1222 Views

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I struggle with the following type of question: "The first four terms of an arithmetic sequence are 5, 9, 13, 17. Write down an expression, in terms of n, for the nth term in the sequence." How should I approach this?

Solve: 1/3 x = 1/2 x + (− 4)

√3(√30 + √8) can be simplified into the follwing format: x√10 + y√6 where are x and y are integers. Find the value of x and y.

Simplify the following expression fully: 8x + y - 6y − 5x

What is the meaning of vector cross product?

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