The 11th term of the geometric sequence is 7340032.
To find the 11th of the geometric progression, we use the formula below.
Formula:
Sₙ = arⁿ⁻¹................ Equation 1
Where:
- Sₙ = nth term of the sequence
- a = First term
- r = common ratio
From the question,
Given:
- a = 7
- n = 11
- r = -28/7 = -4
Substitute these values into equation 1
- S₁₁ = 7(-4¹¹⁻¹)
- S₁₁ = 7(-4¹⁰)
- S₁₁ = 7(1048576)
- S₁₁ = 7340032
Hence, the 11th term of the geometric sequence is 7340032.
Learn more about geometric sequence here: https://brainly.com/question/24643676
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