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Explain Bot To find the 11th term of the given arithmetic progression, we need to determine the common difference and then use the formula for finding the nth term.
In this sequence, we can observe that each term is obtained by multiplying the previous term by 2. Therefore, the common difference or ratio (r) is 2.
The first term (a₁) is given as 4.
To find the 11th term (a₁₁), we can use the formula for the nth term of an arithmetic progression:
aₙ = a₁ + (n - 1) * d,
where aₙ represents the nth term, a₁ is the first term, n is the position of the term, and d is the common difference.
Using this formula, we can substitute the given values:
a₁₁ = 4 + (11 - 1) * 2
Simplifying further:
a₁₁ = 4 + 10 * 2
a₁₁ = 4 + 20
a₁₁ = 24
Therefore, the 11th term of the given arithmetic progression is 24.