First four terms of an arithmetic sequence: 2, 7, 12, 17

The sequence increases by 5 each time.

Find the nᵗʰ term rule for the sequence 2, 7, 12, 17

The nᵗʰ term is given by: 5n - 3.

Is 40 a term in the sequence 2, 7, 12, 17?

No, 40 is not a term in the sequence.

Simplify the expression \frac{(7-\sqrt{3})(7+\sqrt{3})}{\sqrt{92}}.

The simplified form is \frac{46}{2\sqrt{23}}.

Venn diagram with two sets: Set A and Set B.

Set A: \{2, 4, 6, 8, 10\} \n Set B: \{3, 6, 9\} \n Intersection of A and B: \{6\}

Characteristics of service dogs: F = Female, L = Large dog, E = Droopy ears

This flashcard includes a diagram showing the distribution of characteristics among service dogs.

Number of dogs with droopy ears

23 dogs have droopy ears (7 + 4 + 6 + 12).

Number of dogs in F ∪ L

40 dogs are in F ∪ L (10 + 8 + 5 + 4 + 6 + 7).

Venn diagram with two overlapping circles labeled A and B.

The set is the universal set, denoted by ξ.

Expand and simplify (x - 3)^3

(x - 3)^3 = x^3 - 9x^2 + 27x - 27

Solve the equation x^2 = 2(x - 3)^2 and give your answer to 3 significant figures.

The solutions are x = 6.00 and x = 0.00.

Factorise fully: x^2 + 9x + 18.

The factorised form is (x + 3)(x + 6).

Quadratic equation: 2x^2 + 6x + 2

Use the quadratic formula to find the roots.

Quadratic equation: 3x^2 - 3x - 4 = 0

Use the quadratic formula to find the roots, rounded to 1 decimal place.

Quadratic equation: 2x^2 - 3x - 4 = 0

A quadratic equation in standard form is ax^2 + bx + c = 0. Here, a = 2, b = -3, and c = -4.

Quadratic equation: x^2 + 6x - 3 = 0

A quadratic equation in standard form is ax^2 + bx + c = 0. Here, a = 1, b = 6, and c = -3.

Daniel spends £6.50 on 2 apples and 5 oranges.

Cost of 2 apples and 5 oranges is £6.50.

Ayushi buys 4 apples and 6 oranges for £8.60.

Cost of 4 apples and 6 oranges is £8.60.

Solve the equations to find the cost of one apple and one orange: $2a + 5o = 6.50$ and $4a + 6o = 8.60$.

Equation of line B if it is parallel to line A

y = 3 + x (or any equation with the same slope)

Graph showing parallel lines A and B

Lines A and B are parallel, meaning they have the same slope.

Line C is perpendicular to lines A and B.

This indicates that the angle between line C and both lines A and B is 90 degrees.

The shaded region represents the solution to an inequality.

The diagram shows a shaded region on a coordinate plane, indicating an inequality.

Solve the inequality: 4x + 1 ≥ -7

Subtract 1 from both sides: 4x ≥ -8. Divide by 4: x ≥ -2.

Number line representation of the solution x ≥ -2

The solution x ≥ -2 is represented on the number line with a point at -2 and shading to the right.

Review Mid term exam 2024/2025 Flashcards

Student preview

44 questions

Show all answers

1.

FLASHCARD QUESTION

Front

First six terms of the sequence T_n = 2(n - 3)

Back

0, 2, 4, 6, 8, 10

2.

FLASHCARD QUESTION

Front

90th term of the sequence T_n = 2(n - 3)

Back

174

3.

FLASHCARD QUESTION

Front

Term equal to 86 in the sequence T_n = 2(n - 3)

Back

44th term

4.

FLASHCARD QUESTION

Front

The first five terms of a sequence are: 10, 17, 26, 37, 50

Back

Determine a formula for the nth term.

5.

FLASHCARD QUESTION

Front

Calculate the value of the 50th term in the sequence: 10, 17, 26, 37, 50

Back

Use the formula for the nth term to find the 50th term.

6.

FLASHCARD QUESTION

Front

The first terms of a sequence are: 2, 4, 8, 16, 32

Back

What is the common ratio in this sequence?

7.

FLASHCARD QUESTION

Front

What is the 10th number in the sequence: 2, 4, 8, 16, 32?

Back

Use the common ratio to find the 10th term.

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