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Find the 10 term of an AP: root 2, 3 root 2 , 5root 2 7 root 2
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Given A.P ⟶ √2, 3√2, 5√2, 7√2
Here,
- First term = a = √2
- Common difference = d = 3√2 - √2 = 2√2
We need to find the 10th term of the A.P
General Term of an A.P
➤ aₙ = a + (n - 1)d
Applying this formula,
aₙ = a + (n - 1)d
➥ a₁₀ = √2 + (10 - 1) (2√2)
⇒ a₁₀ = √2 + (9) (2√2)
⇒ a₁₀ = √2 + 18√2
⇒ a₁₀ = 19√2
∴ The 10th term of the A.P = 19√2
KNOW MORE:
- Sum of n terms can be given by the following formula:
Sₙ = n ÷ 2 [2a + (n - 1)d]
- When we know the first term and last term, the below formula can be used:
Sₙ = n ÷ 2 [a + aₙ]
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Answer:
root 19
is answer of these questions
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