Question

Solve this question chapter ap class 10th​

Answer 1

nth term is 6 and the Common difference is 54/5 (or) 10.8

Step-by-step explanation:

Given:

• a = 8
• an = 62
• Sn = 210

We need to find:

1. n
2. d

Solution:

Formula of getting nth term (an) of the A.P:

• an = a+(n-1)d

Apply the formula:

=> 62 = 8+(n-1)d

=> (n-1)d = 54...(1)

Formula of getting sum of first n terms of an A.P:

• Sn = n/2[2a+(n-1)d]

Apply the formula:

=> 210 = n/2[2×8+(n-1)d]

=> 420 = n[16+(n-1)d]

Substitute (n-1)d = 54...(1):

=> 420 = n[16+54]

=> 70n = 420

=> n = 420/70

=> n = 6

On taking the first equation:

=> (n-1)d = 54

=> (6-1)d = 54

=> 5d = 54

=> d = 54/5 (or) 10.8

Final Answer:

• n = 6
• d = 54/5 (or) 10.8

Answer 2

Answer:

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