Question

5. The n" term of an A.P. 5, 2, -1, -4,-7 ... is
(a) 2n +5
(b) 2n - 5
(c) 8 - 3n
(d) 3n-8​

Answer 1

Answer:

8 - 3n

Step-by-step explanation:

nth term in AP is given by a + (n - 1)d, where a is first term and d is common difference. Here,

a = first term = 5

d = com. diff. = 2 - 5 = -3

Thus,

⇒ nth term = 5 + (n- 1)(-3)

                  = 5 - 3n + 3

                  = 8 - 3n

             

Answer 2

Answer:

c) 8 - 3n

Step-by-step explanation:

Given that AP is 5, 2, -1, -4,-7 .....

We have to find the nth term of the AP.

• First term = a = 5
• Common difference = d = 2 - 5 = -3
• number of terms = n

Used formula: an = a + (n - 1)d

Substitute the values,

→ an = 5 + (n - 1)(-3)

→ an = 5 - 3n + 3

→ an = 8 - 3n

Hence, the nth term of an AP 5, 2, -1, -4, -7 .......... is 8 - 3n.