Q-A1.NS.6 - Jill gave money to a charity over a 20-year period, from Year 1 to Year 20 inclusive. She gave £150 in Year 1, £160 in Year 2, £170 in Year 3, and so on,

vamshi krishna (last edited 3 years ago) (Teacher, 9^th Grade)

STEP 1: Identify the first term in the sequence, call this number a.

STEP 2: Calculate the common difference(d) of the sequence.

STEP 3: Find the term position ( n )

[EXAMPLE: 2,4,6,8,10….in AP

First term 2, term position (n) = 1

Second term 4, term position (n) = 2........

......... 30th term, term position (n) = 30.......

STEP 4: Substitute all the values in the arithmetic formula

[FORMULA: Tn = a + (n - 1) d,

where Tn = nth term and a = first term. Here d = common difference, n = term position.]

STEP 5: Solve for unknown value.