Question

if 92th term of an ap is 206 and 206th term is 92 find 75th term and find common difference​

Answer 1

Answer:

d = -1, t75=223

Step-by-step explanation:

t92 = a+91d = 206

t206= a +205d=92

subtracting 114d = -114

d= -1

a=206+91=297

t75=a+74d =297-74=223

Answer 2

Step-by-step explanation:

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Maths

Sequences and Series

Arithmetic Progression

Find the middle term of the...

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Asked on November 22, 2019 by

Deepshi Sankhla

Find the middle term of the A.P. 6,13,20,....,216.

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ANSWER

Clearly, 6,13,20,.....,216 is an A.P. with first term a=6 and common difference d=7.

Let there be n terms in the given A.P.

Then, a

n

=216

⟹a+(n+1)d=216

⟹6+7(n−1)=216 [∵a=6 and d=7]

⟹7n=217⟹n=31

Here, n is odd so (

2

n+1

)

th

i.e. (

2

31+1

)

th

=16

th

term is the middle term and is given by

a

16

=a+(16−1)d=1+15d=6+15×7=111