darshpatel0190 darshpatel0190
  • 14-09-2020
  • Mathematics
contestada

If the common differences of an Ap is 5, the value of a18-a13 is

Respuesta :

jimrgrant1 jimrgrant1
  • 14-09-2020

Answer:

25

Step-by-step explanation:

The n th term of an AP is

[tex]a_{n}[/tex] = a₁ + (n- 1)d

where a₁ is the first term and d the common difference

Here d = 5, then

a₁₈ = a₁ + 17d = a₁ + 85

a₁₃ = a₁ + 12d = a₁ + 60

Thus

a₁₈ - a₁₃

= a₁ + 85 - a₁ - 60

= 25

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