Question

if nth term of two aps given below are the same then the value of n is :1)1,7,13,19...... 2)64,63,62,61......​

Answer 1

Answer:

n=10

an=55

Step-by-step explanation:

let a=1 and d=6 from 1,7,13,....

and a1=64 and d1= -1 from 64,63,62,...

Now, it given nth term value is same so there we will equate it, we get,

a+(n-1)d=a1+(n-1)d1

1+(n-1)6=64+(n-1)(-1)

6n-5= -n+65

7n=70

n=10 which means the 10th term will be the same for both...

let see the value or can be said to verify

for L.H.S

an=a+(n-1)d

an=1+(10-1)6

an=55

And,

for R.H.S

an=a1+(n-1)d

an=64+(10-1)(-1)

an=55

Hence verified,

L. H. S = R. H. S

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