The following is an example of arithmetic series questions for grade 10, phase e, number elements, which you can study complete with discussion.

Sequences and series are topics in mathematics that are part of the elements of numbers. You’ll likely learn this in Grade 10 Phase E. This time, we’ll focus on arithmetic sequences and series.

For the theory, you can learn about Arithmetic Sequences and Series↝ .

OK, let’s get straight to it: here are some examples of arithmetic sequences and series along with their discussions.

Sequence Pattern Questions

  1. Look at the pattern formed from the following pieces of stick! Row Pattern Fork Piece The number of pieces of stick in the 55th pattern is…

    1. 166
    2. 169
    3. 170
    4. 175
    5. 180

  2. The following image is a triangle made of matchsticks. Row Pattern Fork Piece The number of matchsticks needed to make the 7th pattern is…

    1. 45
    2. 63
    3. 84
    4. 108
    5. 116

  3. The next three terms of the sequence 25, 27, 30, 34, β‹― are…

    1. 39, 42, 46
    2. 38, 43, 49
    3. 39, 44, 49
    4. 39, 45, 52
    5. 38, 45, 49

  4. Given the row 81, 2, 27, 6, 9, 18, a, The values of b and a are…

    1. 54 and 3
    2. 3 and 54
    3. 3 and 45
    4. 45 and 3
    5. 4 and 35

  5. If the formula for the nth term of a sequence is Un=5–2n2U_n = 5 – 2n^2, then the difference between the third and fifth terms is ….

    1. 32
    2. –32
    3. 28
    4. –28
    5. 25

  6. The formula of the nth term of a row is Un=4+2n–an2U_n = 4 + 2n – an^2, If the 4th term is –36 then the value of a is…

    1. –3
    2. –2
    3. 2
    4. 3
    5. 4

  7. A row of 1, 4, 7, 10, … satisfies the pattern Un=an+bUn = an + b. The 10th quarter of the row is

    1. 22
    2. 28
    3. 30
    4. 31
    5. 33

  8. A row of 2, 5, 10, 17, …. meet the pattern Un=an2+bn+cUn = an^2 + bn + c. The 9th quarter of the row is

    1. 73
    2. 78
    3. 80
    4. 82
    5. 94

  9. The first term of a sequence is 4, while the nth common term (for n > 1) determined by the formula Un = 3.Un–1 – 5. The third term is…

    1. 16
    2. 14
    3. 13
    4. 12
    5. 10

  10. The number pattern for the sequence 44, 41, 38, 35, 32, … satisfies the formula …

    1. Un = 44 – n
    2. Un = 46 – 2n
    3. Un = 48 – 4n
    4. Un = 3n + 41
    5. Un = 47 – 3n

Arithmetic Sequence Practice Questions

  1. Given the arithmetic sequence 1,3,5,7,…

    The 10th quarter of the row is…

    1. 15
    2. 16
    3. 17
    4. 18
    5. 19

  2. From rows 3, 5, 7, 9, 11, … the 21st quarter is

    1. 40
    2. 43
    3. 46
    4. 49
    5. 5

  3. An arithmetic sequence is known to have a 4th term of 6 and a difference of 3. The 8th term is is …

    1. 18
    2. 31
    3. 34
    4. 37
    5. 40

  4. An arithmetic sequence is known to have a 15th term of 30 and a difference of -5. The 15th term is 30 and the difference is -5. 6 is

    1. 65
    2. 25
    3. 75
    4. 80
    5. 90

  5. The general formula for the nth term of the sequence 4, 9, 14, 19, 24, …. is …

    1. 5n + 2
    2. 5n – 1
    3. 5n + 1
    4. 5n – 2
    5. 5n + 2

  6. If the 6th term of an arithmetic sequence is –4 and the 9th term is –19, then the 11th term is…

    1. –34
    2. –29
    3. –19
    4. –24
    5. –14

Arithmetic Series Practice Questions

  1. The result of 5 + 7 + 9 + 11 + … + 41 is …

    1. 379
    2. 437
    3. 471
    4. 407
    5. 207

  2. If 4 + 6 + 8 + 10 + … + x = 130, then the value of x is …

    1. 10
    2. 15
    3. 18
    4. 22
    5. 32

  3. The fourth term of an arithmetic sequence is 20 and the sum is 5 terms. the first is equal to 80. The sum of the first eleven terms is…

    1. 196
    2. 210
    3. 264
    4. 308
    5. 332

  4. From an arithmetic series, the sum of the first n terms is determined. with the formula Sn=𝑛2(3n+5)S_n =𝑛^2(3n + 5). The 6th term is…

    1. 19
    2. 33
    3. 36
    4. 39
    5. 42

  5. The number of integers between 10 and 60 that are divisible by 3 is

    1. 552
    2. 486
    3. 462
    4. 312
    5. 396

  6. A father saves his money at home. Every month the amount of savings increases steadily starting from the first month with Rp. 50,000.00, the second month with Rp. 55,000.00, the third month with Rp. 60,000.00, and so on. The total savings for 10 months is…

    1. Rp500.000,00,
    2. Rp550.000,00,
    3. Rp600.000,00,
    4. Rp700,000.00,
    5. Rp725,000.00,

  7. A vegetable farmer recorded his harvest for 10 consecutive days. The first day’s harvest was 24 kg and each subsequent day increased by 3 kg from the previous day’s harvest. The total harvest for the 10 days was…

    1. 220 kg
    2. 255 kg
    3. 375 kg
    4. 390 kg
    5. 750 kg