Question

Rita is spending more time at home to study and practice math. Her efforts are finally paying off. On her first assessment she scored 58 points, then she scores 63 and 68 on her next two assessments. If her scores continued to increase at the same rate, on which assessments will she be scoring above 85?

Answer 1

Answer:

Step-by-step explanation:

Rita has scored marks : 58,63,68,...

let a=t1 =58

t2=63

t3= 68

common difference = d = t3-t2 =t2-t1 ......(formula)

d = 68-63 =63-58

d = 5.

hence the sequence is in arithmetic progression.

we have to find when Rita will get score above 85.

let tn = a number greater than 85

tn = a + (n-1) x d.....(formula)

tn = 58 + (n-1) x 5

let tn be 88

88 = 58 + (n-1) x 5

88-58 = 5n - 5

30 =5n - 5

35 = 5n

n = 7

hence Rita will score more than 85 on her seventh assessment.