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  1. For ammonium nitrate NH4NO3, the mass equals two nitrogens, four hydrogens and three oxygens, totaling 28 plus 4 plus 48, which equals 80 u. For phosphoric acid H3PO4, the mass equals three hydrogens, one phosphorus and four oxygens, totaling 3 plus 31 plus 64, which equals 98 u. For sodium hydrogenRead more

    For ammonium nitrate NH4NO3, the mass equals two nitrogens, four hydrogens and three oxygens, totaling 28 plus 4 plus 48, which equals 80 u. For phosphoric acid H3PO4, the mass equals three hydrogens, one phosphorus and four oxygens, totaling 3 plus 31 plus 64, which equals 98 u. For sodium hydrogencarbonate NaHCO3, adding sodium 23, hydrogen 1, carbon 12 and three oxygens 48 gives 84 u.

     

    For more NCERT Solutions of Class 9 Science Exploration Chapter 9 Atomic Foundations of Matter Question Answer (2026-27)

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    • 42
  2. For this AP, the first term is a = 21 and the common difference is d = 18 - 21 = -3. The nth term formula is tn = a + (n - 1)d. For tn = -81: 21 + (n - 1) x (-3) = -81 (n - 1) x (-3) = -102 n - 1 = 34, so n = 35. Thus, -81 is the 35th term. For tn = 0: 21 + (n - 1) x (-3) = 0 (n - 1) x (-3) = -21 nRead more

    For this AP, the first term is a = 21 and the common difference is d = 18 – 21 = -3.

    The nth term formula is tn = a + (n – 1)d.

    For tn = -81:

    21 + (n – 1) x (-3) = -81

    (n – 1) x (-3) = -102

    n – 1 = 34, so n = 35. Thus, -81 is the 35th term.

    For tn = 0:

    21 + (n – 1) x (-3) = 0

    (n – 1) x (-3) = -21

    n – 1 = 7, so n = 8.

    Since n is a natural number, 0 is the 8th term.

     

    For more NCERT Solutions of Class 9 Ganita Manjari Chapter 8 Predicting What Comes Next: Exploring Sequences and Progressions Question Answer (2026-27)

    https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-8/

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    • 47
  3. In the given sequence, the first term is a = 11 and the common difference is d = 8 - 11 = -3. The explicit rule for the nth term is: tn = a + (n - 1)d tn = 11 + (n - 1) x (-3) tn = 11 - 3n + 3 tn = 14 - 3n. To write the recursive rule, each term after the first is obtained by adding the common diffeRead more

    In the given sequence, the first term is a = 11 and the common difference is d = 8 – 11 = -3.

    The explicit rule for the nth term is:

    tn = a + (n – 1)d

    tn = 11 + (n – 1) x (-3)

    tn = 11 – 3n + 3

    tn = 14 – 3n.

    To write the recursive rule, each term after the first is obtained by adding the common difference:

    t1 = 11 and tn = tn-1 – 3 for n >= 2.

     

    For more NCERT Solutions of Class 9 Ganita Manjari Chapter 8 Predicting What Comes Next: Exploring Sequences and Progressions Question Answer (2026-27)

    https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-8/

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    • 40
  4. Given an AP of 50 terms: 3rd term: a + 2d = 12 50th term: a + 49d = 106 Subtracting the first equation from the second: (a + 49d) - (a + 2d) = 106 - 12 47d = 94, which gives d = 2. Substitute d = 2 into the first equation: a + 2 x 2 = 12 a = 12 - 4 = 8. Now, finding the 29th term: t29 = a + 28d = 8Read more

    Given an AP of 50 terms:

    3rd term: a + 2d = 12

    50th term: a + 49d = 106

    Subtracting the first equation from the second:

    (a + 49d) – (a + 2d) = 106 – 12

    47d = 94, which gives d = 2.

    Substitute d = 2 into the first equation:

    a + 2 x 2 = 12

    a = 12 – 4 = 8.

    Now, finding the 29th term:

    t29 = a + 28d = 8 + 28 x 2 = 8 + 56 = 64.

    Hence, the 29th term is 64.

     

    For more NCERT Solutions of Class 9 Ganita Manjari Chapter 8 Predicting What Comes Next: Exploring Sequences and Progressions Question Answer (2026-27)

    https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-8/

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    • 48
  5. The two-digit numbers divisible by 3 form the sequence: 12, 15, 18, ..., 99. Here, a = 12, d = 3 and last term tn = 99. Using tn = a + (n - 1)d: 99 = 12 + (n - 1) x 3 87 = (n - 1) x 3 n - 1 = 29, so n = 30. There are 30 two-digit numbers divisible by 3. Their sum is given by Sn = (n / 2) x (a + tn):Read more

    The two-digit numbers divisible by 3 form the sequence: 12, 15, 18, …, 99.

    Here, a = 12, d = 3 and last term tn = 99.

    Using tn = a + (n – 1)d:

    99 = 12 + (n – 1) x 3

    87 = (n – 1) x 3

    n – 1 = 29, so n = 30.

    There are 30 two-digit numbers divisible by 3.

    Their sum is given by Sn = (n / 2) x (a + tn):

    S30 = (30 / 2) x (12 + 99) = 15 x 111 = 1665.

    Thus, the sum is 1665.

     

    For more NCERT Solutions of Class 9 Ganita Manjari Chapter 8 Predicting What Comes Next: Exploring Sequences and Progressions Question Answer (2026-27)

    https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-8/

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