Math, asked by aespa3103, 5 hours ago

40,39,38,36,32,29,20,?
Complete the series no spam​

Answers

Answered by srikanthbaviri
1

Answer:

I think answer is ?=16

Step-by-step explanation:

once we observe the difference between numbers is like

40-39 =1

39-38=1²

38-36=2

36-32=2²

32-29=3

29-20=3²

NEXT WILL BE 20-4=16

SO Answer is 16

Answered by amitnrw
1

Next number is 16 in the sequence 40,39,38,36,32,29,20,?

Given:

  • Sequence
  • 40,39,38,36,32,29,20,?

To Find:

  • Next number in the series

Solution:

Step 1:

Understand the series

40

40  - 1  = 39

39  - 1² = 38

38 - 2  = 36

36 - 2² = 32

32  - 3  = 29

29 - 3² = 20

Step 2:

Continue the same pattern

20 - 4  = 16

16 - 4² = 10

Hence Next number in the sequence is 16

T₂ₙ  = T₂ₙ₋₁  - n

T₂ₙ₊₁  = T₂ₙ   - n²

where n ≥ 1 , n ∈ Z  and T₁ = 40

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