Explanation

An arithmetic sequence has a common difference between terms.

• 2, 4, 8, 16... → ratio = 2 (GP)
• 2, 4, 6, 8... → diff = 2 (AP)
• 1, 3, 9, 27... → ratio = 3 (GP)
• 5, 10, 20, 40... → ratio = 2 (GP)

Last verified on 07-02-2026

Explanation

Natural numbers are the set of positive counting numbers: 1, 2, 3, …

They do not include 0, negative numbers, or fractions.

Last verified on 07-02-2026

Explanation

961 = 31²

So, √961 = 31

Last verified on 07-02-2026

Explanation

(x, 8) = (4, y-2)

⇒ x = 4 and 8 = y-2

⇒ y = 8+2 = 10

x + y = 4 + 10 = 14

Last verified on 07-02-2026

Explanation

√81 = 9 (since 9² = 81)

Last verified on 07-02-2026

Explanation

Additive inverse of a number x is a number y such that x + y = 0.

For 2/3, the additive inverse is -2/3 because 2/3 + (-2/3) = 0.

Last verified on 07-02-2026

Explanation

In (a + b)^n, the total number of terms is n + 1.

Last verified on 07-02-2026

Explanation

A number is divisible by 5 if it ends in 0 or 5.

45000 ends in 0, so it's divisible by 5.

Last verified on 07-02-2026

Explanation

• An independent clause expresses a complete thought and can stand alone as a sentence.
• Dependent clauses (If it rains) cannot stand alone.
• In the sentence, “The school will be off tomorrow” is complete and meaningful by itself.

Last verified on 07-02-2026

Explanation

• An imperative sentence gives a command, request, or instruction.
• “Close the window” tells someone to perform an action.
• Imperative sentences often start with the base form of the verb.

Last verified on 07-02-2026