Question

Find the 4th term of the series-
2, 5/2, 10/3,..
ans.5 (How?)

Answer 1

2 + 1/2 = 5/2

5/2 + 2/2 = 7/2

so most probably the next one will be

7/2 + 3/2 = 10/2

then

10/2 + 4/2 = 14/2 = 7

Answer 2

sorry pls check the ques again.

Answer 3

do you want a formal formula?

Answer 4

that was 10/3

Answer 5

oh

Answer 6

then maybe 17/4...

Answer 7

\[\frac 21 , \; \frac 52, \ \frac{10}{3}\]
the third term would probably be \[\frac{10 \times 5}{4} \implies \frac{50}{4}\]
then the 4th term would probably be\[\frac{50 \times 10}{5} \implies \frac{500}{5} \implies 100\]

Answer 8

does that make sense?

Answer 9

the ans. is 5

Answer 10

bummer

Answer 11

yes, it comes out to be 5....17/4....then 25/5=5

Answer 12

the diffeerence in numerator is 3,5,7,9...

Answer 13

\[\frac 21 , \; \frac 52, \; \frac{10}{3}\]
so the 3rd term would be \[\frac{10+7}{4} \implies \frac{17}{4}\]
then the 4th term would be \[\frac {17 + 9}{5} \implies \frac{26}{5}\]
not 25/5

Answer 14

note : this ques. is based on sequences (i.e. AP,GP or HP)

Answer 15

lol i got it

Answer 16

\[\frac 21, \; \frac 52, \; \frac{10}{3}\]
4th term would be \[\frac{10 \times 2}{4} \implies \frac{20}{4} \implies 5\]

Answer 17

i forgot 3 terms were already given

Answer 18

although that does not explain 5 :/

Answer 19

i mean 5/3

Answer 20

OH got it,