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Harish started work at an annual salary of ₹5,00,000 and received an increment of ₹20,000 each year. After how many years did his income reach ₹7,00,000?
Harish's yearly income forms an arithmetic progression where: First term a = 500000 Common difference d = 20000 Target term tn = 700000. Using the nth term formula tn = a + (n - 1)d: 700000 = 500000 + (n - 1) x 20000 200000 = (n - 1) x 20000 n - 1 = 10 n = 11. Since n = 11 represents the 11th year oRead more
Harish’s yearly income forms an arithmetic progression where:
First term a = 500000
Common difference d = 20000
Target term tn = 700000.
Using the nth term formula tn = a + (n – 1)d:
700000 = 500000 + (n – 1) x 20000
200000 = (n – 1) x 20000
n – 1 = 10
n = 11.
Since n = 11 represents the 11th year of his career, it required 10 annual increments.
Therefore, his income reached 7,00,000 after 10 years.
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/
See lessA child arranges marbles in rows so that the first row has 1 marble, the second has 2 marbles, the third has 3 and so on up to 25 rows. How many marbles does the child use in all?
The number of marbles in the rows forms the sequence 1, 2, 3, ..., 25. The total number of marbles used is the sum of the first 25 natural numbers: S = 1 + 2 + 3 + ... + 25. Using the formula for the sum of the first n natural numbers: Sn = n(n + 1) / 2 For n = 25: S25 = 25 x (25 + 1) / 2 S25 = 25 xRead more
The number of marbles in the rows forms the sequence 1, 2, 3, …, 25.
The total number of marbles used is the sum of the first 25 natural numbers:
S = 1 + 2 + 3 + … + 25.
Using the formula for the sum of the first n natural numbers:
Sn = n(n + 1) / 2
For n = 25:
S25 = 25 x (25 + 1) / 2
S25 = 25 x 26 / 2
S25 = 25 x 13 = 325.
Thus, the child uses a total of 325 marbles.
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/
See lessFind the 10th and 26th terms of the AP: 3, 8, 13, 18, ….
In this arithmetic progression, the first term is a = 3 and the common difference is d = 8 - 3 = 5. The nth term of an AP is given by the formula tn = a + (n - 1)d. To find the 10th term, substitute n = 10: t10 = 3 + (10 - 1) x 5 = 3 + 9 x 5 = 3 + 45 = 48. To find the 26th term, substitute n = 26: tRead more
In this arithmetic progression, the first term is a = 3 and the common difference is d = 8 – 3 = 5. The nth term of an AP is given by the formula tn = a + (n – 1)d. To find the 10th term, substitute n = 10: t10 = 3 + (10 – 1) x 5 = 3 + 9 x 5 = 3 + 45 = 48. To find the 26th term, substitute n = 26: t26 = 3 + (26 – 1) x 5 = 3 + 25 x 5 = 3 + 125 = 128. Thus, the terms are 48 and 128.
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/
See lessComplete the sentence appropriately. The tone of the poet in the given extract is ________ because ________.
The tone of the poet in the given extract is serene and wistful because, instead of dwelling on painful grief over his mother's death, he finds quiet solace in nature. Gazing into the tranquil blue heavens fills him with an overwhelming sense of calm, reassuring his spirit that her tender, protectivRead more
The tone of the poet in the given extract is serene and wistful because, instead of dwelling on painful grief over his mother’s death, he finds quiet solace in nature. Gazing into the tranquil blue heavens fills him with an overwhelming sense of calm, reassuring his spirit that her tender, protective presence remains peacefully spread across the entire world to watch over him forever.
For more NCERT Solutions of Class 9 English Kaveri Chapter 4 I Cannot Remember My Mother Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/english/kaveri-chapter-4/
See lessWhat is the purpose of likening the mother’s gaze to the sky?
The purpose of comparing the mother's gaze to the sky is to portray maternal affection as infinite, tranquil and omnipresent. While the poet cannot recall her physical face, the endless heavens become an emotional sanctuary representing her watchful presence. This poetic comparison reassures the chiRead more
The purpose of comparing the mother’s gaze to the sky is to portray maternal affection as infinite, tranquil and omnipresent. While the poet cannot recall her physical face, the endless heavens become an emotional sanctuary representing her watchful presence. This poetic comparison reassures the child that her silent, peaceful love transcends physical separation, providing everlasting comfort and spiritual protection from above at all times.
For more NCERT Solutions of Class 9 English Kaveri Chapter 4 I Cannot Remember My Mother Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/english/kaveri-chapter-4/
See less