What is the 7th term of the geometric sequence 10 2 2/5

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Answer:

2/3125

Step-by-step explanation:

Solution:

Step 1: Find the common ratio

Step 2: Form the geometric sequence in term of n

Step 3: Find the 7th term

Step 1: Find the common ratio:

Common Ratio = a2 ÷ a1

Common Ratio = 2 ÷ 10

Common Ratio = 1/5

Step 2: Form the geometric sequence in term of n:

Tn = arⁿ⁻¹

Given that a = 10. r = 1/5

⇒ Tn = (10)(1/5)ⁿ⁻¹

⇒ Tn = (10)(1/5)ⁿ ÷ (1/5)

⇒ Tn = 50(1/5)ⁿ

Step 3: Find the 7th term:

When n = 7

Tn = 50(1/5)⁷

Tn = 2/3125

Answer: The 7th term is 2/3125

5. What is the 7th term of the geometric sequence 10 2 2/5 2/25 .=== ? 3. 2/125 b. 2/625 C. 2/3125 d. 2/15625 6. The common difference of an arithmetic sequence is 1/2 , If the first term i: 1/4 , find the 7th term?

Question

Gauthmathier5381

Grade 9 · 2021-07-03

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5. What is the 7th term of the geometric sequence 5. What is the 7th term of the geometric sequence - Gauthmath 2 \frac {2}{5} \frac {2}{25} .=== ?
3. \frac {2}{125}
b. \frac {2}{625}
C. \frac {2}{3125}
d. \frac {2}{15625} 6. The common difference of an arithmetic sequence is \frac {1}{2} , If the first term i: \frac {1}{4} , find the 7th term?

Chloe

Answer

Explanation

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Question

Gauthmathier6405

Grade 8 · 2021-10-11

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What is the What is the 7th term of the geometric sequence 10, - Gauthmath term of the geometric sequence 10, 2, 2/5, ..

Tracy

Answer

{a}_{7} = \dfrac{2}{3125}

Explanation

Find the pattern and write the general term: {a}_{n} = 10 (\dfrac{1}{5})^{n - 1}
Substitute and calculate: {a}_{7} = \dfrac{2}{3125}
Answer: {a}_{7} = \dfrac{2}{3125}

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