Question

What is the nth term of this sequence? 1, 4, 7, 10

please explain​

Answer 1

Answer: 13

Step-by-step explanation: The number goes up by three each time, so it would be 13.

Answer 2

The nᵗʰ term of the sequence is 3n - 2.

Step-by-step Step-by-step explanation:

GIVEN :

• ↝ First-term a₁ = 1
• ↝ Second-term a₂ = 4
• ↝ Third-term a₃ = 7
• ↝ Fourth term a₄ = 10

TO FIND :

• ↝ nth term of the sequence

USING FORMULA :

`\longrightarrow{\sf{a_n = a + (n - 1)d}}`

where :

• » aₙ = nth term
• » a = first term
• » n = number of terms
• » d = common difference

SOLUTION :

Here we can see that the difference between two terms is 3.

Thus, finding the nth term of the sequence by substituting all the given values in the formula :

`\longrightarrow{\sf{a_n = a + (n - 1)d}}`

`\longrightarrow{\sf{a_n = 1 + (n - 1)3}}`

`\longrightarrow{\sf{a_n = 1 + (n * 3 - 1 * 3)}}`

`\longrightarrow{\sf{a_n = 1 +(3n - 3)}}`

`\longrightarrow{\sf{a_n = 1 +3n - 3}}`

`\longrightarrow{\sf{\underline{\underline{a_n = 3n - 2}}}}`

Hence, the nth term of the sequence is 3n - 2.

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