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what is the nth ternm of this sequence -4,1,6,11,16,

a 5n-4
b -4n+5
c -9n
d 5n-9

Sagot :

mhanifa

Answer:

  • d. 5n-9

Step-by-step explanation:

Given sequence:

  • -4, 1, 6, 11, 16, ...

It is an AP with:

  • The first term is a = -4
  • Common difference is d = 5

Nth term of this sequence is:

  • aₙ = a + (n - 1)d
  • aₙ = - 4 + 5(n - 1) = -4 + 5n - 5 = 5n - 9

Correct option is d.

manissaha129

Answer:

d. (5n-9)

Step-by-step explanation:

  • First term = -4
  • Common difference = 1-(-4)=1+4=5
  • Formula used: L =a+(n-1)d

where, L is the last term;

a is the first term ;

n is the number of terms;

and d is the common difference.

  • L = -4+(n-1)5= -4+5n-5 = 5n-9

Therefore, the last term is (5n-9).

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