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B. Answer the questions below based on the following number sequence.
-7, 2, 17, 38, 65
1) Write down the next term in the sequence.
2) What is the 10th term in the sequence?
3) Write down the 7th term in the sequence.
4) James says 233 is in the sequence. Is James correct? (Yes or No)
5) Write the rule in finding the nth term of the sequence.​


Sagot :

-7, 2, 17, 38, 65, 98, 137, 182, 233, 290

Answer:

1. 98

2. 290

3. 137

4. Yes

5. nth term = dn + (a - d)

Where d is the difference between the terms, a is the first term and n is the term number.

It means find the difference between the sequence and if it's still not there then find the difference of the difference.

Step-by-step explanation:

Kung gusto niyo po malaman pano nakuha yung next term ng sequence na ito ay madali lamang.

Dahil walang pinagkaiba ang nasa sequence ay hinanap Ko ito sa difference nila kapag binawasan mo ng - 7 ang 2 ang sagot nito ay 9. Kapag naman binawasan mo ang 17 ng 2 ang sagot ay 15

Kung dadagdagan niyo ng anim ang 9 ang magiging sagot nito ay 15 at kapag I add mo ito sa 2 ang magiging sagot nito ay 17

2 - ( -7 ) = 9 + - ( - 7 ) = 2

17 - 2 = 15 + 2 = 17

38 - 17 = 21 + 17 = 38

65 - 38 = 27 + 38 = 65

*iadd mo ang 9 sa 6 ang sagot nito ay 15 ganon din ang 15 kapag nag add kang 6 dito ang sagot ay 21 ibigsabihin ang difference ay 6

Kungiaad mo ng 6 ang 27 at inadd ang sagot nito sa 65 mahahanap mo ang next term nito

27 + 6 = 33 + 65 = 98

Hope it helps...

Happy to help...