Question

For this sequence, find the first 4 terms and the 10th term.
4n - 5

Answer 1

Step-by-step explanation:

an=4n-5

a1=4.(1)-5=4-5= -1

a1=-1

a2=4.(2)-5=8-5= 3

a2= 3

a3=4.(3)-5=12-5= 7

a3= 7

a4=4.(4)-5=16-5= 11

a4= 11

a10=4.(10)-5

a10=40-5

a10=35

Answer 2

Answer:

          The first 4 terms of the sequence will be -1, 3, 7, 11 and 10th term will be 35.

Explanation:

• Arithmetic Progression or AP is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence.

• A progression is a special type of sequence for which it is possible to obtain a formula for the nth term. The Arithmetic Progression is the most commonly used sequence in maths with easy to understand formulas.

• A mathematical sequence in which the difference between two consecutive terms is always a constant and it is defined as AP.

• Given that nth term of the sequence is aₙ = 4n - 5
• For find the values of each term a₁, a₂, a₃, a₄ and a₁₀ i.e, the first 4 terms and the 10th term, we have to substitute the values 1, 2, 3, 4 and instead of n in the given expression.
• Therefore,

a₁ = 4 × (1) - 5 = 4 - 5 = -1

a₁ = -1

a₂ = 4 × (2) - 5 = 8 - 5 = 3

a₂ = 3

a₃ = 4 × (3) - 5 = 12 - 5 = 7

a₃ = 7

a₄ = 4 × (4) - 5 = 16 - 5 = 11

a₄ = 11     and

a₁₀ = 4 ₓ (10) - 5

a₁₀ = 40 - 5

a₁₀ = 35

• Hence, the first 4 terms of the sequence will be -1, 3, 7, 11 and 10th term will be 35.

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