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Math, 28.10.2019 18:29, Grakname

What is the solution of, 2 5 8 10 4 17 5 26 6

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  • Réponse publiée par: rhaineandreirefuerzo

    a_{6\\}

    d= 3

    the next three terms are  14, 17,20

    Step-by-step explanation:

    the formula for arithmetic sequence   a_{n}=a_{1}+(n-1)d  

    Since we are looking for 5th, 6th and 7th term we need to use the formula to have a proper solution

    a_{n}=a_{1}+(n-1)d\\

    n= number of term

    d= 3 (common distance)

    a_{1}= 2 (starting point)

    n= 5

    a_{5}= 2+(5-1)3

    = 2+ (4)3

    = 2 + 12

    = 14

    n= 6

    a_{6}= 2 + (6-1)3

    =2+ (5)3

    =2+15

    = 17

    n=7

    a_{7}= 2+ (7-1)3

    = 2+(6)3

    =2+18

    =20

  • Réponse publiée par: molinamaureen080693
    ANSWER:FORMULA:

    a_n=a_1+(n-1)d

    SOLUTION:

    1. 2,5,8, ... the 8th term.

    a_8=2+(8-1)3

    a_8=2+(7)3

    a_8=2+21

    a_8=23

    2. 3,5,7, ... the 21st term.

    a_{21}=3+(21-1)2

    a_{21}=3+(20)2

    a_{21}=3+40

    \left[a_{21}=43]

    3. -11,-7,-3, ... the 23rd term.

    a_{23}=-11+(23-1)4

    a_{23}=-11+(22)4

    a_{23}=-11+88

    a_{23}=77

    4. 7,4,1, ... the 17th term.

    a_{17}=7+(17-1)-3

    a_{17}=7+(16)-3

    a_{17}=7+-48

    a_{17}=-41

    5. 9,18,27, ... the 11th term.

    a_{11}=9+(11-1)9

    a_{11}=9+(10)9

    a_{11}=9+90

    a_{11}=99

    6. 14,6,-2, ... the 13th term.

    a_{13}=14+(13-1)-8

    a_{13}=14+(12)-8

    a_{13}=14+(-96)

    a_{13}=-82

    7. 1,3,5, ... the 50th term.

    a_{50}=1+(50-1)2

    a_{50}=1+(49)2

    a_{50}=1+98

    a_{50}=99

    8. 5,-1,-7, ... the 17th term.

    a_{17}=5+(17-1)-6

    a_{17}=5+(16)-6

    a_{17}=5+(-96)

    a_{17}=-91

    9. 1,4,7, ... the 18th term.

    a_{18}=1+(18-1)3

    a_{18}=1+(17)3

    a_{18}=1+51

    a_{18}=52

    10. 26,22,18, ... the 40th term.​

    a_{40}=26+(40-1)-4

    a_{40}=26+(39)-4

    a_{40}=26+(-156)

    a_{40}=-130

    #CARRYONLEARNING

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