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✨LOTS OF POINTS✨
For each sequence write an explicit formula: 7. 1,5, 25, ... a_1:___ r/d:___ a_n:___
8. 29, 35, 41, ... a_1:___ r/d:___ a_n:___

For this sequence, write a recursive formula 9. 7,49,343, ... r/d:___ a_n:___​

Respuesta :

mhanifa

Answer:

  • Q7. a₁ = 1 , r = 5, aₙ = 5ⁿ⁻¹
  • Q8. a₁ = 29, d = 6, aₙ =  6n + 23
  • Q9. a₁ = 7, r = 7, aₙ = 7aₙ₋₁

Step-by-step explanation:

Q7.

Given sequence

  • 1, 5, 25, ...

This is a GP with the first term of a₁ = 1 and common ratio r = 5

Explicit formula is:

  • aₙ = 1*5ⁿ⁻¹= 5ⁿ⁻¹

Q8.

Given sequence

  • 29, 35, 41, ...

This is an AP with the first term of a₁ = 29 and common difference d = 6

Explicit formula:

  • aₙ = 29 + 6(n - 1) = 29 + 6n - 6 = 6n + 23

Q9.

Given sequence

  • 7, 49, 343, ...

This is a GP with the first term a₁ = 7 and common ratio r = 7

Recursive formula is:

  • aₙ = aₙ₋₁*7 = 7aₙ₋₁

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